A confectionery sells strawberry scones and apple scones.

Strawberry scones	Apple scones
6 for $2.70	5 for $4.40

Gillian bought an equal number of strawberry scones and apple scones. She paid $38.70 more for the apple scones and the strawberry scones.

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

(a)
Gillian bought an equal number of strawberry scones and apple scones.  Make the number of strawberry scones and apple scones the same.  LCM of 6 and 5 is 30.

Number of sets of 6 in 30
= 30 ÷ 6
= 5

Cost of 1 set of 30 strawberry scones
= 5 x 2.70
= $13.50

Number of sets of 5 in 30
= 30 ÷ 5
= 6

Cost of 1 set of 30 apple scones
= 6 x 4.40
= $26.40

Amount that Gillian paid more for 1 set of 30 apple scones than 1 set of 30 strawberry scones
= 26.40 - 13.50
= $12.90

Number of sets of $12.90
= 38.70 ÷ 12.90
= 3

Total number of scones in 1 set of 30 apple scones and 30 strawberry scones
= 2 x 30
= 60

Number of scones that Gillian bought
= 3 x 60
= 180

(b)
Cost of scones in 1 set of 30 apple scones and 30 strawberry scones
= 13.50 + 26.40
= $39.90

Total amount that Gillian spent altogether
= 3 x 39.90
= $119.70

Answer(s): (a) 180 ; (b) $119.70