Kylie spent $232 to buy some boxes of cranberry and blueberry muffins. Each box of cranberry muffins cost $11 and each box of blueberry muffins cost $12. The cranberry muffins were packed in boxes of 12 muffins each and the blueberry muffins were packed in boxes of 8 muffins each. She bought an equal number of cranberry muffins and blueberry muffins.
(a) How many boxes of cranberry muffins did she buy?
(b) How many boxes of blueberry muffins did she buy?
(a)
Total number of cranberry muffins and blueberry muffins is the same.

LCM of 12 and 8 = 24

Number of boxes for 24 cranberry muffins
= 24 ÷ 12
= 2

Number of boxes for 24 blueberry muffins
= 24 ÷ 8
= 3

1 set = 2 boxes of cranberry muffins and 3 boxes of blueberry muffins

Cost of 1 set
= 2 x 11 + 3 x 12
= 22 + 36
= $58

Number of sets
= 232 ÷ 58
= 4

Boxes of cranberry muffins
= 4 x 2
= 8

(b)
Boxes of blueberry muffins
= 4 x 3
= 12

Answer(s): (a) 8; (b) 12