A confectionery sells cheese puffs and chocolate chip puffs.
| Cheese puffs |
Chocolate chip puffs |
| 6 for $2.30 |
5 for $2.90 |
Gwen bought an equal number of cheese puffs and chocolate chip puffs. She paid $35.40 more for the chocolate chip puffs and the cheese puffs.
- How many puffs did she buy?
- How much did she spend altogether?
(a)
Gwen bought an equal number of cheese puffs and chocolate chip puffs. Make the number of cheese puffs and chocolate chip puffs the same. LCM of 6 and 5 is 30.
Number of sets of 6 in 30
= 30 ÷ 6
= 5
Cost of 1 set of 30 cheese puffs
= 5 x 2.30
= $11.50
Number of sets of 5 in 30
= 30 ÷ 5
= 6
Cost of 1 set of 30 chocolate chip puffs
= 6 x 2.90
= $17.40
Amount that Gwen paid more for 1 set of 30 chocolate chip puffs than 1 set of 30 cheese puffs
= 17.40 - 11.50
= $5.90
Number of sets of $5.90
= 35.40 ÷ 5.90
= 6
Total number of puffs in 1 set of 30 chocolate chip puffs and 30 cheese puffs
= 2 x 30
= 60
Number of puffs that Gwen bought
= 6 x 60
= 360
(b)
Cost of puffs in 1 set of 30 chocolate chip puffs and 30 cheese puffs
= 11.50 + 17.40
= $28.90
Total amount that Gwen spent altogether
= 6 x 28.90
= $173.40
Answer(s): (a) 360 ; (b) $173.40
