Stacey is selling tickets to the school play. The tickets are $8 for adults and $3 for children. She sells twice as many adult t

Question

3 years ago

12

ickets as children's tickets and brings in a total of $456. How many of each kind of ticket did she sell?

1 answer:

Leona [35] · Answer 1 · 2022-04-23T21:11:54+03:00

48 adult tickets and 24 children tickets were sold.

Step-by-step explanation:

Given,

Cost of one adult ticket = $8

Cost of one child ticket = $3

Total worth of sold tickets = $456

Let,

Number of adult tickets sold = x

Number of child ticket sold = y

According to given statement;

8x+3y=456 Eqn 1

x = 2y Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$8(2y)+3y=456\\16y+3y=456\\19y=456$

Dividing both sides by 19

$\frac{19y}{19}=\frac{456}{19}\\y=24$

Putting y=24 in Eqn 2

$x=2(24)\\x=48$

48 adult tickets and 24 children tickets were sold.

Keywords: linear equation, substitution method

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