Cindy spent $524 to buy some boxes of chocolate chip and blueberry puffs. Each box of chocolate chip puffs cost $7 and each box of blueberry puffs cost $12. The chocolate chip puffs were packed in boxes of 8 puffs each and the blueberry puffs were packed in boxes of 5 puffs each. She bought an equal number of chocolate chip puffs and blueberry puffs.
(a) How many boxes of chocolate chip puffs did she buy?
(b) How many boxes of blueberry puffs did she buy?
(a)
Total number of chocolate chip puffs and blueberry puffs is the same.

LCM of 8 and 5 = 40

Number of boxes for 40 chocolate chip puffs
= 40 ÷ 8
= 5

Number of boxes for 40 blueberry puffs
= 40 ÷ 5
= 8

1 set = 5 boxes of chocolate chip puffs and 8 boxes of blueberry puffs

Cost of 1 set
= 5 x 7 + 8 x 12
= 35 + 96
= $131

Number of sets
= 524 ÷ 131
= 4

Boxes of chocolate chip puffs
= 4 x 5
= 20

(b)
Boxes of blueberry puffs
= 4 x 8
= 32

Answer(s): (a) 20; (b) 32