A confectionery sells cranberry muffins and apricot muffins.

Cranberry muffins	Apricot muffins
4 for $2.70	3 for $2.70

Jane bought an equal number of cranberry muffins and apricot muffins. She paid $18.90 more for the apricot muffins and the cranberry muffins.

1. How many muffins did she buy?
2. How much did she spend altogether?

(a)
Jane bought an equal number of cranberry muffins and apricot muffins.  Make the number of cranberry muffins and apricot muffins the same.  LCM of 4 and 3 is 12.

Number of sets of 4 in 12
= 12 ÷ 4
= 3

Cost of 1 set of 12 cranberry muffins
= 3 x 2.70
= $8.10

Number of sets of 3 in 12
= 12 ÷ 3
= 4

Cost of 1 set of 12 apricot muffins
= 4 x 2.70
= $10.80

Amount that Jane paid more for 1 set of 12 apricot muffins than 1 set of 12 cranberry muffins
= 10.80 - 8.10
= $2.70

Number of sets of $2.70
= 18.90 ÷ 2.70
= 7

Total number of muffins in 1 set of 12 apricot muffins and 12 cranberry muffins
= 2 x 12
= 24

Number of muffins that Jane bought
= 7 x 24
= 168

(b)
Cost of muffins in 1 set of 12 apricot muffins and 12 cranberry muffins
= 8.10 + 10.80
= $18.90

Total amount that Jane spent altogether
= 7 x 18.90
= $132.30

Answer(s): (a) 168 ; (b) $132.30