A confectionery sells cheese puffs and cherry puffs.

Cheese puffs	Cherry puffs
4 for $4.70	3 for $3.90

Lucy bought an equal number of cheese puffs and cherry puffs. She paid $4.50 more for the cherry puffs and the cheese puffs.

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

(a)
Lucy bought an equal number of cheese puffs and cherry puffs.  Make the number of cheese puffs and cherry puffs 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 cheese puffs
= 3 x 4.70
= $14.10

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

Cost of 1 set of 12 cherry puffs
= 4 x 3.90
= $15.60

Amount that Lucy paid more for 1 set of 12 cherry puffs than 1 set of 12 cheese puffs
= 15.60 - 14.10
= $1.50

Number of sets of $1.50
= 4.50 ÷ 1.50
= 3

Total number of puffs in 1 set of 12 cherry puffs and 12 cheese puffs
= 2 x 12
= 24

Number of puffs that Lucy bought
= 3 x 24
= 72

(b)
Cost of puffs in 1 set of 12 cherry puffs and 12 cheese puffs
= 14.10 + 15.60
= $29.70

Total amount that Lucy spent altogether
= 3 x 29.70
= $89.10

Answer(s): (a) 72 ; (b) $89.10