Gwen spent $268 to buy some boxes of cherry and blueberry muffins. Each box of cherry muffins cost $6 and each box of blueberry muffins cost $11. The cherry muffins were packed in boxes of 10 muffins each and the blueberry muffins were packed in boxes of 4 muffins each. She bought an equal number of cherry muffins and blueberry muffins.
(a) How many boxes of cherry muffins did she buy?
(b) How many boxes of blueberry muffins did she buy?
(a)
Total number of cherry muffins and blueberry muffins is the same.

LCM of 10 and 4 = 20

Number of boxes for 20 cherry muffins
= 20 ÷ 10
= 2

Number of boxes for 20 blueberry muffins
= 20 ÷ 4
= 5

1 set = 2 boxes of cherry muffins and 5 boxes of blueberry muffins

Cost of 1 set
= 2 x 6 + 5 x 11
= 12 + 55
= $67

Number of sets
= 268 ÷ 67
= 4

Boxes of cherry muffins
= 4 x 2
= 8

(b)
Boxes of blueberry muffins
= 4 x 5
= 20

Answer(s): (a) 8; (b) 20