A confectionery sells blueberry puffs and apple puffs.
Blueberry puffs |
Apple puffs |
5 for $2.70 |
3 for $4.90 |
Nora bought an equal number of blueberry puffs and apple puffs. She paid $65.60 more for the apple puffs and the blueberry puffs.
- How many puffs did she buy?
- How much did she spend altogether?
(a)
Nora bought an equal number of blueberry puffs and apple puffs. Make the number of blueberry puffs and apple puffs the same. LCM of 5 and 3 is 15.
Number of sets of 5 in 15
= 15 ÷ 5
= 3
Cost of 1 set of 15 blueberry puffs
= 3 x 2.70
= $8.10
Number of sets of 3 in 15
= 15 ÷ 3
= 5
Cost of 1 set of 15 apple puffs
= 5 x 4.90
= $24.50
Amount that Nora paid more for 1 set of 15 apple puffs than 1 set of 15 blueberry puffs
= 24.50 - 8.10
= $16.40
Number of sets of $16.40
= 65.60 ÷ 16.40
= 4
Total number of puffs in 1 set of 15 apple puffs and 15 blueberry puffs
= 2 x 15
= 30
Number of puffs that Nora bought
= 4 x 30
= 120
(b)
Cost of puffs in 1 set of 15 apple puffs and 15 blueberry puffs
= 8.10 + 24.50
= $32.60
Total amount that Nora spent altogether
= 4 x 32.60
= $130.40
Answer(s): (a) 120 ; (b) $130.40