Gillian spent $188 to buy some boxes of banana and apricot muffins. Each box of banana muffins cost $5 and each box of apricot muffins cost $8. The banana muffins were packed in boxes of 8 muffins each and the apricot muffins were packed in boxes of 6 muffins each. She bought an equal number of banana muffins and apricot muffins.
(a) How many boxes of banana muffins did she buy?
(b) How many boxes of apricot muffins did she buy?
(a)
Total number of banana muffins and apricot muffins is the same.

LCM of 8 and 6 = 24

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

Number of boxes for 24 apricot muffins
= 24 ÷ 6
= 4

1 set = 3 boxes of banana muffins and 4 boxes of apricot muffins

Cost of 1 set
= 3 x 5 + 4 x 8
= 15 + 32
= $47

Number of sets
= 188 ÷ 47
= 4

Boxes of banana muffins
= 4 x 3
= 12

(b)
Boxes of apricot muffins
= 4 x 4
= 16

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