A confectionery sells apple muffins and strawberry muffins.
| Apple muffins |
Strawberry muffins |
| 7 for $3.70 |
5 for $4.90 |
Joelle bought an equal number of apple muffins and strawberry muffins. She paid $94.80 more for the strawberry muffins and the apple muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Joelle bought an equal number of apple muffins and strawberry muffins. Make the number of apple muffins and strawberry muffins 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 apple muffins
= 5 x 3.70
= $18.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 strawberry muffins
= 7 x 4.90
= $34.30
Amount that Joelle paid more for 1 set of 35 strawberry muffins than 1 set of 35 apple muffins
= 34.30 - 18.50
= $15.80
Number of sets of $15.80
= 94.80 ÷ 15.80
= 6
Total number of muffins in 1 set of 35 strawberry muffins and 35 apple muffins
= 2 x 35
= 70
Number of muffins that Joelle bought
= 6 x 70
= 420
(b)
Cost of muffins in 1 set of 35 strawberry muffins and 35 apple muffins
= 18.50 + 34.30
= $52.80
Total amount that Joelle spent altogether
= 6 x 52.80
= $316.80
Answer(s): (a) 420 ; (b) $316.80
