Xandra spent $348 to buy some boxes of apricot and apple wafers. Each box of apricot wafers cost $10 and each box of apple wafers cost $11. The apricot wafers were packed in boxes of 6 wafers each and the apple wafers were packed in boxes of 5 wafers each. She bought an equal number of apricot wafers and apple wafers.
(a) How many boxes of apricot wafers did she buy?
(b) How many boxes of apple wafers did she buy?
(a)
Total number of apricot wafers and apple wafers is the same.

LCM of 6 and 5 = 30

Number of boxes for 30 apricot wafers
= 30 ÷ 6
= 5

Number of boxes for 30 apple wafers
= 30 ÷ 5
= 6

1 set = 5 boxes of apricot wafers and 6 boxes of apple wafers

Cost of 1 set
= 5 x 10 + 6 x 11
= 50 + 66
= $116

Number of sets
= 348 ÷ 116
= 3

Boxes of apricot wafers
= 3 x 5
= 15

(b)
Boxes of apple wafers
= 3 x 6
= 18

Answer(s): (a) 15; (b) 18