Barbara spent $196 to buy some boxes of blueberry and cranberry scones. Each box of blueberry scones cost $8 and each box of cranberry scones cost $11. The blueberry scones were packed in boxes of 6 scones each and the cranberry scones were packed in boxes of 4 scones each. She bought an equal number of blueberry scones and cranberry scones.
(a) How many boxes of blueberry scones did she buy?
(b) How many boxes of cranberry scones did she buy?
(a)
Total number of blueberry scones and cranberry scones is the same.

LCM of 6 and 4 = 12

Number of boxes for 12 blueberry scones
= 12 ÷ 6
= 2

Number of boxes for 12 cranberry scones
= 12 ÷ 4
= 3

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

Cost of 1 set
= 2 x 8 + 3 x 11
= 16 + 33
= $49

Number of sets
= 196 ÷ 49
= 4

Boxes of blueberry scones
= 4 x 2
= 8

(b)
Boxes of cranberry scones
= 4 x 3
= 12

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