A confectionery sells blueberry muffins and cheese muffins.
| Blueberry muffins |
Cheese muffins |
| 7 for $2.30 |
5 for $4.40 |
Joelle bought an equal number of blueberry muffins and cheese muffins. She paid $154.40 more for the cheese muffins and the blueberry muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Joelle bought an equal number of blueberry muffins and cheese muffins. Make the number of blueberry muffins and cheese 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 blueberry muffins
= 5 x 2.30
= $11.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 cheese muffins
= 7 x 4.40
= $30.80
Amount that Joelle paid more for 1 set of 35 cheese muffins than 1 set of 35 blueberry muffins
= 30.80 - 11.50
= $19.30
Number of sets of $19.30
= 154.40 ÷ 19.30
= 8
Total number of muffins in 1 set of 35 cheese muffins and 35 blueberry muffins
= 2 x 35
= 70
Number of muffins that Joelle bought
= 8 x 70
= 560
(b)
Cost of muffins in 1 set of 35 cheese muffins and 35 blueberry muffins
= 11.50 + 30.80
= $42.30
Total amount that Joelle spent altogether
= 8 x 42.30
= $338.40
Answer(s): (a) 560 ; (b) $338.40
