Question

The cost of admission to a popular music was $162 for 12 children and 3 adults. The admission $122 for 8 childern and 3 adults in another music concert. For extra credit (10 pts), how much was the admission for each child and adult? Write the equation

Answer 1

Explanation:

let the number of children be x

and the number of adults be y

so

12x+3y=162-----1

and

8x+3y=122------2

equating both 1 and 2 we have

12x+3y=162-----1

8x+3y=122------2

subtract 2 from 1 we have

12x+3y=162-----1

- 8x+3y=122------2

4y+0=40

4y=40

y=40/4

y=10

put y=4 in eqn 1 we have

12x+3y=162-----1

12x+3*10=162-----1

12x+30=162

12x=162-30

12x=132

x=132/12

x=11

therefore a child will cost $11 and adult will cost $10