Question

There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $890. How many adults and how many children attended?

Answer 1

Explanation:

Number of adults = a

Number of children = c

Total people = 430

a + c = 430 --------------(I)

Total amount =$890

3a + c =890 -----------(II)

Multiply equation (I) by (-1)

(I)*(-1) -a - c = -430

(II) 3a + c = 890 {Now add and thus c will be eliminated}

2a = 460

a = 460/2

a= 230

Plug in the value of a in equation (I)

230 + c = 430

c = 430 - 230

c = 200

Number of adults = 230

Number of children = 200