Cathy spent $225 to buy some boxes of cranberry and cheese scones. Each box of cranberry scones cost $5 and each box of cheese scones cost $11. The cranberry scones were packed in boxes of 10 scones each and the cheese scones were packed in boxes of 8 scones each. She bought an equal number of cranberry scones and cheese scones.
(a) How many boxes of cranberry scones did she buy?
(b) How many boxes of cheese scones did she buy?
(a)
Total number of cranberry scones and cheese scones is the same.

LCM of 10 and 8 = 40

Number of boxes for 40 cranberry scones
= 40 ÷ 10
= 4

Number of boxes for 40 cheese scones
= 40 ÷ 8
= 5

1 set = 4 boxes of cranberry scones and 5 boxes of cheese scones

Cost of 1 set
= 4 x 5 + 5 x 11
= 20 + 55
= $75

Number of sets
= 225 ÷ 75
= 3

Boxes of cranberry scones
= 3 x 4
= 12

(b)
Boxes of cheese scones
= 3 x 5
= 15

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