Elyse spent $260 to buy some boxes of cheese and chocolate chip puffs. Each box of cheese puffs cost $7 and each box of chocolate chip puffs cost $11. The cheese puffs were packed in boxes of 8 puffs each and the chocolate chip puffs were packed in boxes of 6 puffs each. She bought an equal number of cheese puffs and chocolate chip puffs.
(a) How many boxes of cheese puffs did she buy?
(b) How many boxes of chocolate chip puffs did she buy?
(a)
Total number of cheese puffs and chocolate chip puffs is the same.

LCM of 8 and 6 = 24

Number of boxes for 24 cheese puffs
= 24 ÷ 8
= 3

Number of boxes for 24 chocolate chip puffs
= 24 ÷ 6
= 4

1 set = 3 boxes of cheese puffs and 4 boxes of chocolate chip puffs

Cost of 1 set
= 3 x 7 + 4 x 11
= 21 + 44
= $65

Number of sets
= 260 ÷ 65
= 4

Boxes of cheese puffs
= 4 x 3
= 12

(b)
Boxes of chocolate chip puffs
= 4 x 4
= 16

Answer(s): (a) 12; (b) 16