Joelle spent $129 to buy some boxes of cheese and blueberry wafers. Each box of cheese wafers cost $8 and each box of blueberry wafers cost $9. The cheese wafers were packed in boxes of 6 wafers each and the blueberry wafers were packed in boxes of 4 wafers each. She bought an equal number of cheese wafers and blueberry wafers.
(a) How many boxes of cheese wafers did she buy?
(b) How many boxes of blueberry wafers did she buy?
(a)
Total number of cheese wafers and blueberry wafers is the same.

LCM of 6 and 4 = 12

Number of boxes for 12 cheese wafers
= 12 ÷ 6
= 2

Number of boxes for 12 blueberry wafers
= 12 ÷ 4
= 3

1 set = 2 boxes of cheese wafers and 3 boxes of blueberry wafers

Cost of 1 set
= 2 x 8 + 3 x 9
= 16 + 27
= $43

Number of sets
= 129 ÷ 43
= 3

Boxes of cheese wafers
= 3 x 2
= 6

(b)
Boxes of blueberry wafers
= 3 x 3
= 9

Answer(s): (a) 6; (b) 9