A confectionery sells strawberry puffs and vanilla puffs.

Strawberry puffs	Vanilla puffs
7 for $2.30	5 for $4.70

Anna bought an equal number of strawberry puffs and vanilla puffs. She paid $85.60 more for the vanilla puffs and the strawberry puffs.

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

(a)
Anna bought an equal number of strawberry puffs and vanilla puffs.  Make the number of strawberry puffs and vanilla puffs 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 strawberry puffs
= 5 x 2.30
= $11.50

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

Cost of 1 set of 35 vanilla puffs
= 7 x 4.70
= $32.90

Amount that Anna paid more for 1 set of 35 vanilla puffs than 1 set of 35 strawberry puffs
= 32.90 - 11.50
= $21.40

Number of sets of $21.40
= 85.60 ÷ 21.40
= 4

Total number of puffs in 1 set of 35 vanilla puffs and 35 strawberry puffs
= 2 x 35
= 70

Number of puffs that Anna bought
= 4 x 70
= 280

(b)
Cost of puffs in 1 set of 35 vanilla puffs and 35 strawberry puffs
= 11.50 + 32.90
= $44.40

Total amount that Anna spent altogether
= 4 x 44.40
= $177.60

Answer(s): (a) 280 ; (b) $177.60