A confectionery sells banana scones and apple scones.

Banana scones	Apple scones
7 for $2.70	5 for $4.70

Vanessa bought an equal number of banana scones and apple scones. She paid $155.20 more for the apple scones and the banana scones.

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

(a)
Vanessa bought an equal number of banana scones and apple scones.  Make the number of banana scones and apple scones the same.  LCM of 7 and 5 is 35.

Number of sets of 7 in 35
= 35 ÷ 7
= 5

Cost of 1 set of 35 banana scones
= 5 x 2.70
= $13.50

Number of sets of 5 in 35
= 35 ÷ 5
= 7

Cost of 1 set of 35 apple scones
= 7 x 4.70
= $32.90

Amount that Vanessa paid more for 1 set of 35 apple scones than 1 set of 35 banana scones
= 32.90 - 13.50
= $19.40

Number of sets of $19.40
= 155.20 ÷ 19.40
= 8

Total number of scones in 1 set of 35 apple scones and 35 banana scones
= 2 x 35
= 70

Number of scones that Vanessa bought
= 8 x 70
= 560

(b)
Cost of scones in 1 set of 35 apple scones and 35 banana scones
= 13.50 + 32.90
= $46.40

Total amount that Vanessa spent altogether
= 8 x 46.40
= $371.20

Answer(s): (a) 560 ; (b) $371.20