Julie spent $276 to buy some boxes of strawberry and cranberry wafers. Each box of strawberry wafers cost $6 and each box of cranberry wafers cost $9. The strawberry wafers were packed in boxes of 12 wafers each and the cranberry wafers were packed in boxes of 5 wafers each. She bought an equal number of strawberry wafers and cranberry wafers.
(a) How many boxes of strawberry wafers did she buy?
(b) How many boxes of cranberry wafers did she buy?
(a)
Total number of strawberry wafers and cranberry wafers is the same.

LCM of 12 and 5 = 60

Number of boxes for 60 strawberry wafers
= 60 ÷ 12
= 5

Number of boxes for 60 cranberry wafers
= 60 ÷ 5
= 12

1 set = 5 boxes of strawberry wafers and 12 boxes of cranberry wafers

Cost of 1 set
= 5 x 6 + 12 x 9
= 30 + 108
= $138

Number of sets
= 276 ÷ 138
= 2

Boxes of strawberry wafers
= 2 x 5
= 10

(b)
Boxes of cranberry wafers
= 2 x 12
= 24

Answer(s): (a) 10; (b) 24