A confectionery sells cranberry muffins and apple muffins.
| Cranberry muffins |
Apple muffins |
| 6 for $4.50 |
5 for $4.20 |
Mary bought an equal number of cranberry muffins and apple muffins. She paid $13.50 more for the apple muffins and the cranberry muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Mary bought an equal number of cranberry muffins and apple muffins. Make the number of cranberry muffins and apple muffins 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 cranberry muffins
= 5 x 4.50
= $22.50
Number of sets of 5 in 30
= 30 ÷ 5
= 6
Cost of 1 set of 30 apple muffins
= 6 x 4.20
= $25.20
Amount that Mary paid more for 1 set of 30 apple muffins than 1 set of 30 cranberry muffins
= 25.20 - 22.50
= $2.70
Number of sets of $2.70
= 13.50 ÷ 2.70
= 5
Total number of muffins in 1 set of 30 apple muffins and 30 cranberry muffins
= 2 x 30
= 60
Number of muffins that Mary bought
= 5 x 60
= 300
(b)
Cost of muffins in 1 set of 30 apple muffins and 30 cranberry muffins
= 22.50 + 25.20
= $47.70
Total amount that Mary spent altogether
= 5 x 47.70
= $238.50
Answer(s): (a) 300 ; (b) $238.50
