A confectionery sells chocolate chip muffins and cherry muffins.
| Chocolate chip muffins |
Cherry muffins |
| 5 for $3.10 |
3 for $4.90 |
Anna bought an equal number of chocolate chip muffins and cherry muffins. She paid $121.60 more for the cherry muffins and the chocolate chip muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Anna bought an equal number of chocolate chip muffins and cherry muffins. Make the number of chocolate chip muffins and cherry muffins the same. LCM of 5 and 3 is 15.
Number of sets of 5 in 15
= 15 ÷ 5
= 3
Cost of 1 set of 15 chocolate chip muffins
= 3 x 3.10
= $9.30
Number of sets of 3 in 15
= 15 ÷ 3
= 5
Cost of 1 set of 15 cherry muffins
= 5 x 4.90
= $24.50
Amount that Anna paid more for 1 set of 15 cherry muffins than 1 set of 15 chocolate chip muffins
= 24.50 - 9.30
= $15.20
Number of sets of $15.20
= 121.60 ÷ 15.20
= 8
Total number of muffins in 1 set of 15 cherry muffins and 15 chocolate chip muffins
= 2 x 15
= 30
Number of muffins that Anna bought
= 8 x 30
= 240
(b)
Cost of muffins in 1 set of 15 cherry muffins and 15 chocolate chip muffins
= 9.30 + 24.50
= $33.80
Total amount that Anna spent altogether
= 8 x 33.80
= $270.40
Answer(s): (a) 240 ; (b) $270.40
