Question

1. At an elementary school, it's picture day. Two picture packages are available. Package 1

contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two
class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an
individual class picture and the cost of an individual wallet-size picture.

Answer 1

9514 1404 393Answer:

• class picture: $5
• wallet-size: $1.40

Explanation:

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

c +10w = 19

2c +15w = 31

Subtracting the second equation from twice the first, we get ...

2(c +10w) -(2c +15w) = 2(19) -31

5w = 7

w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

c + 10(1.40) = 19

c = 5 . . . . . . . . . . . subtract 14

A class picture costs $5; a wallet-size picture costs $1.40.