For a school play, Rico bought 3 adult tickets and 5 child tickets for $40. Sasha bought 1 adult ticket and 5 child tickets for

Question

3 years ago

7

$25. Find the cost of an adult ticket and the cost of a child ticket. Then find how much Julia will pay for 5 adult tickets and 3 child tickets

1 answer:

Serhud [2] · Answer 1 · 2022-02-14T11:43:42+03:00

The cost of one adult ticket is $7.5 and one child ticket is $3.5

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+5y=40 Eqn 1

x+5y=25 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(3x+5y)-(x+5y)=40-25\\3x+5y-x-5y=15\\2x=15$

Dividing both sides by 2

$\frac{2x}{2}=\frac{15}{2}\\x=7.5$

Putting x=2.5 in Eqn 1

$3(7.5)+5y=40\\22.5+5y=40\\5y=40-22.5\\5y=17.5$

Dividing both sides by 5

$\frac{5y}{5}=\frac{17.5}{5}\\y=3.5$

The cost of one adult ticket is $7.5 and one child ticket is $3.5

5 adult tickets = 5*7.5 = $37.5

3 child tickets = 3*3.5 = $10.5

Total = 37.5+10.5 =$48

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Keywords: linear equation, subtraction

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