Hazel spent $165 to buy some boxes of cheese and vanilla muffins. Each box of cheese muffins cost $5 and each box of vanilla muffins cost $7. The cheese muffins were packed in boxes of 5 muffins each and the vanilla muffins were packed in boxes of 4 muffins each. She bought an equal number of cheese muffins and vanilla muffins.
(a) How many boxes of cheese muffins did she buy?
(b) How many boxes of vanilla muffins did she buy?
(a)
Total number of cheese muffins and vanilla muffins is the same.

LCM of 5 and 4 = 20

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

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

1 set = 4 boxes of cheese muffins and 5 boxes of vanilla muffins

Cost of 1 set
= 4 x 5 + 5 x 7
= 20 + 35
= $55

Number of sets
= 165 ÷ 55
= 3

Boxes of cheese muffins
= 3 x 4
= 12

(b)
Boxes of vanilla muffins
= 3 x 5
= 15

Answer(s): (a) 12; (b) 15