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There were 470 people at a play. The admission price was $3 for adults and $1 for children.

The admission receipts were $910. How many adults and how many children attended?

User Demaris
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1 Answer

4 votes

Answer:

220 adults and 250 children

Explanation:

we require to set up 2 equations and solve simultaneously.

let a be the number of adults and c the number of children , then

a + c = 470 → (1) based on number of people

3a + c = 910 → (2) based on ticket sales

subtract (1) from (2) term by term to eliminate c

(3a - a) + (c - c) = 910 - 470

2a + 0 = 440

2a = 440 ( divide both sides by 2 )

a = 220

substitute a = 220 into (1) and solve for c

220 + c = 470 ( subtract 220 from both sides )

c = 250

that is 220 adults and 250 children attended

User Kevin F
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