A confectionery sells cheese puffs and apple puffs.
Cheese puffs |
Apple puffs |
6 for $2.20 |
4 for $3.90 |
Abi bought an equal number of cheese puffs and apple puffs. She paid $43.80 more for the apple puffs and the cheese puffs.
- How many puffs did she buy?
- How much did she spend altogether?
(a)
Abi bought an equal number of cheese puffs and apple puffs. Make the number of cheese puffs and apple puffs the same. LCM of 6 and 4 is 12.
Number of sets of 6 in 12
= 12 ÷ 6
= 2
Cost of 1 set of 12 cheese puffs
= 2 x 2.20
= $4.40
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 apple puffs
= 3 x 3.90
= $11.70
Amount that Abi paid more for 1 set of 12 apple puffs than 1 set of 12 cheese puffs
= 11.70 - 4.40
= $7.30
Number of sets of $7.30
= 43.80 ÷ 7.30
= 6
Total number of puffs in 1 set of 12 apple puffs and 12 cheese puffs
= 2 x 12
= 24
Number of puffs that Abi bought
= 6 x 24
= 144
(b)
Cost of puffs in 1 set of 12 apple puffs and 12 cheese puffs
= 4.40 + 11.70
= $16.10
Total amount that Abi spent altogether
= 6 x 16.10
= $96.60
Answer(s): (a) 144 ; (b) $96.60