A confectionery sells cheese muffins and apricot muffins.
| Cheese muffins |
Apricot muffins |
| 5 for $3.40 |
3 for $2.90 |
Anna bought an equal number of cheese muffins and apricot muffins. She paid $12.90 more for the apricot muffins and the cheese muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Anna bought an equal number of cheese muffins and apricot muffins. Make the number of cheese muffins and apricot 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 cheese muffins
= 3 x 3.40
= $10.20
Number of sets of 3 in 15
= 15 ÷ 3
= 5
Cost of 1 set of 15 apricot muffins
= 5 x 2.90
= $14.50
Amount that Anna paid more for 1 set of 15 apricot muffins than 1 set of 15 cheese muffins
= 14.50 - 10.20
= $4.30
Number of sets of $4.30
= 12.90 ÷ 4.30
= 3
Total number of muffins in 1 set of 15 apricot muffins and 15 cheese muffins
= 2 x 15
= 30
Number of muffins that Anna bought
= 3 x 30
= 90
(b)
Cost of muffins in 1 set of 15 apricot muffins and 15 cheese muffins
= 10.20 + 14.50
= $24.70
Total amount that Anna spent altogether
= 3 x 24.70
= $74.10
Answer(s): (a) 90 ; (b) $74.10
