The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family
spends $146 on 3 adult tickets and 2 youth tickets at the same park. Find the price of adult and youth tickets,

Answers

Answer 1

Answer:

34 adult ticket and 22 youth tickets

Step-by-step explanation:

Let the price of adult be x

Let the price of youth tickets be y

If the Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park, then;

2x+3y = 134 .... 1

Also if the Coaster family  spends $146 on 3 adult tickets and 2 youth tickets at the same park then;

3x+2y = 146 ..... 2

Solve simultaneously

2x+3y = 134 .... 1 * 3

3x+2y = 146 ..... 2 * 2

_____________

6x+9y = 402

6x+4y = 292

Subtract

9y-4y = 402-292

5y = 110

y = 110/5

y = 22

Substitute y =22 into 1;

From 1;

2x+3y = 134

2x+3(22) = 134

2x+66 = 134

2x = 134-66

2x = 68

x = 34

Hence there are 34 adult ticket and 22 youth tickets


Related Questions

Please I need help asap Which graph represents a scatter plot with a nonlinear negative association?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Su is baking 5 batches each of cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. Write two equivalent expressions using the Distributive Property. Then find how many total cups of sugar are needed.
I know the answer is 25 but how would I write the expression.

Answers

Answer:x=25 divided by 5

Step-by-step explanation:

5. Round 16.975 to the nearest hundredths
A 16.10
B. 16.98 C. 16.20 D. 16.97
6. Encircle the letter of the number that rounds off to 10.85
A 10.859
B. 10.857 C. 10.851 D. 10.856
7. Which of the following order numbers from greatest to least?
a 3.756
37.56
375.6 0.3756
b. 0.2468
0.2486 0.2648 0.2846
C. 11.010
11.011 11.0110 1.1101
d. 2.86
2.75
2.68
2.56​

Answers

Answer:

5. B

6. C

7. D

Step-by-step explanation:

hope this is correct and helps hehe

(p+1)x^(2)+(5p-3)x+2p=-3

Answers

Answer:

3.

Step-by-step explanati

find the area of EFG​

Answers

Answer:

12ft

Step-by-step explanation:

Select the graph that best represents the given table of values.

x f(x)
6 4
2 8
10 0

witch graph is right
1 2 3 or 4

Answers

Answer:

The first image,

Step-by-step explanation: Hope this helps!


pa^2 + qb^2 + pb^2 + qa^2​

Answers

Answer:

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Susie is 13
5
6
years old. Dwight is 1
1
3
years older than Susie and Jane is 1
1
4
years older than Dwight. How old is Jane?

Answers

Answer: what

the way you worded the question makes no sense

I would I simplify this ?

Answers

Yes you will need to simplify

Find the length of the missing side.
13
B
A
5
A) 13.9
B
7.
© 11
D) 12
E Not enough information.

Answers

Answer:

D

Step-by-step explanation:

12 cm,

Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides

So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.

Square root of 144 is the length of the missing side, i.e. 12 cm.

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22

Answers

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

Answer:

A

Step-by-step explanation:

u subtract each number by 8 then once u get to 5 u start adding them all by 8

if

sin150°=1/2 fiind sin75°​

Answers

Answer:

thank u for free points

Step-by-step explanation:

......

The answer ASAP plz I need help

Answers

Answer:

C

Step-by-step explanation:

i might be wrong -

Answer:

i think its b not too sure tho

Step-by-step explanation:

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane.
write an inequality to determine the number of cans that Shane could have collected​

Answers

Answer:

x+178x=2000 cans

Step-by-step explanation:

Hope this Helped

solve for the missing angle measurement

Answers

The total sum of angles in a trapezium is 360°.

x + 80° + 75° + 105° = 360°

x + 260° = 360°

x = 360° - 260°

x = 100°

The missing angle measurement is 100°.

Hope it helps!

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

Sandy borrowed a book from Liabrary and read notice about fines. Each day fine doubles.if snook is 1day overdue ,the fine is $0.02 .if it is 2days overdue,the fine is$0.04,if it is 3 days overdue,it is $0.08 and so on. If sandy book is one week overdue how much will he fine be

Answers

Answer:

Step-by-step explanation:

The fines grow exponentially.

f(n) = $0.01×2ⁿ, where n is the number of days

f(7) = $0.01×2⁷  = $1.28

a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?

Answers

Hi there!

Ok so we know that every nickel is €5 and every dime is €10...

Let think...

If it is 30 nickels it would be 150 cents and would also be 1.50$...

Now we know that there is 42 dimes left.. let see if it can be equaled.

[tex]42[/tex]·[tex]10=4.62[/tex]

Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.

Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...

[tex]44[/tex]·[tex]5=2.20[/tex]

[tex]72-44=28[/tex]

[tex]28[/tex]·[tex]10=2.80[/tex]

[tex]2.20+2.80=5.00[/tex]

Therefore, the total of dimes would be 28...

0 - (-4) =
Please help

Answers

Answer:

4

Step-by-step explanation:

-(-a)=a

0+4

=4

[tex] \huge \purple{\tt{Answer:}} [/tex]

0-(-4)

= 0 + 4

= 4

The difference of 8 and 2 times m

Answers

I’m confused? I understand it is math but can you word the problem better?

PLEASE HELP ASAP!!!
Which is a solution to the following system of inequalities?
4x - 3y<9
x+3y>6

А(-2, 1)

B(3, 1)

C(0,4)

D(1,1)

Answers

Answer:

B.

Step-by-step explanation:

its the same as saying..

4x - 3y = 9

x + 3y = 6

add both equation together

5x = 15

i.e X = 3

substitute x= 3 in equation 2

3 + 3y = 6

3y = 3

divide both sides by 3

y = 1

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the

Answers

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

75+11(1777-S)=16,671

Answers

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

can you help me in rule?

I am doing it right?

Answers

The rule would be ~y=4x+3~

Hope this helps

Have a great day/night

Feel free to ask any questions

The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Part A: Answer the following questions about the cost function C(2) and the revenue function R(x).
1. What is the domain and range of C (x)?
2. What is the meaning of the slope and intercept of C(x)?
3. At what production level 2 will the company receive the most revenue?
Part B. Answer the following questions about the profit function P(x).
4. Assuming that the company sells all that it produces, what is the profit function?
5. Why is finding the range of P(x) important?
6. The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
7. Can you explain, from our model, why the company makes less profit when producing 10 more units?

Answers

Solution :

a).

1. The domain of C(x)

   [tex]$x \in [0, \infty)$[/tex]

Range of c(x) is [tex]$[0, \infty)$[/tex]

Since the negative value do not make any sense.

2. C(x) =  Ax + b

  Intercept here denotes the fixed cost (that is when x = 0)

  The slope indicates the marginal cost (that is increase in cost per unit of quantity)

3. Revenue is maximum marginal revenue = 0

(that is when at the top of the parabola)

4. Profit = R(x) -C(x)

5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.

6 and 7 -- insufficient data.

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

Divide the product of 22 and 27 =

Answers

0.81 have a nice day !

When finding the volume of a rectangle shaped 3D box, what formula do you use?

Answers

Answer:

length x width x height

l x w x h

Consider the first four terms of the sequence below.

1, -1/2, 1/4, -1/8, ...

What is the 8th term of this sequence?

A. -1/256
B. 1/128
C. -1/128
D. 1/256

Answers

Answer:

the answer is C.-1/128......

What is the greatest common factor of 12^5 and 8^3

Answers

4^3

Hope this helps!!!!
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