A confectionery sells apple muffins and cherry muffins.
| Apple muffins |
Cherry muffins |
| 5 for $4.30 |
4 for $3.90 |
Julie bought an equal number of apple muffins and cherry muffins. She paid $9.20 more for the cherry muffins and the apple muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Julie bought an equal number of apple muffins and cherry muffins. Make the number of apple muffins and cherry muffins the same. LCM of 5 and 4 is 20.
Number of sets of 5 in 20
= 20 ÷ 5
= 4
Cost of 1 set of 20 apple muffins
= 4 x 4.30
= $17.20
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 cherry muffins
= 5 x 3.90
= $19.50
Amount that Julie paid more for 1 set of 20 cherry muffins than 1 set of 20 apple muffins
= 19.50 - 17.20
= $2.30
Number of sets of $2.30
= 9.20 ÷ 2.30
= 4
Total number of muffins in 1 set of 20 cherry muffins and 20 apple muffins
= 2 x 20
= 40
Number of muffins that Julie bought
= 4 x 40
= 160
(b)
Cost of muffins in 1 set of 20 cherry muffins and 20 apple muffins
= 17.20 + 19.50
= $36.70
Total amount that Julie spent altogether
= 4 x 36.70
= $146.80
Answer(s): (a) 160 ; (b) $146.80
