A confectionery sells vanilla muffins and cheese muffins.
| Vanilla muffins |
Cheese muffins |
| 7 for $2.90 |
5 for $2.90 |
Gwen bought an equal number of vanilla muffins and cheese muffins. She paid $40.60 more for the cheese muffins and the vanilla muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Gwen bought an equal number of vanilla muffins and cheese muffins. Make the number of vanilla 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 vanilla muffins
= 5 x 2.90
= $14.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 cheese muffins
= 7 x 2.90
= $20.30
Amount that Gwen paid more for 1 set of 35 cheese muffins than 1 set of 35 vanilla muffins
= 20.30 - 14.50
= $5.80
Number of sets of $5.80
= 40.60 ÷ 5.80
= 7
Total number of muffins in 1 set of 35 cheese muffins and 35 vanilla muffins
= 2 x 35
= 70
Number of muffins that Gwen bought
= 7 x 70
= 490
(b)
Cost of muffins in 1 set of 35 cheese muffins and 35 vanilla muffins
= 14.50 + 20.30
= $34.80
Total amount that Gwen spent altogether
= 7 x 34.80
= $243.60
Answer(s): (a) 490 ; (b) $243.60
