A confectionery sells cheese muffins and apple muffins.
| Cheese muffins |
Apple muffins |
| 6 for $3.20 |
4 for $2.90 |
Esther bought an equal number of cheese muffins and apple muffins. She paid $16.10 more for the apple muffins and the cheese muffins.
- How many muffins did she buy?
- How much did she spend altogether?
(a)
Esther bought an equal number of cheese muffins and apple muffins. Make the number of cheese muffins and apple muffins the same. LCM of 6 and 4 is 12.
Number of sets of 6 in 12
= 12 ÷ 6
= 2
Cost of 1 set of 12 cheese muffins
= 2 x 3.20
= $6.40
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 apple muffins
= 3 x 2.90
= $8.70
Amount that Esther paid more for 1 set of 12 apple muffins than 1 set of 12 cheese muffins
= 8.70 - 6.40
= $2.30
Number of sets of $2.30
= 16.10 ÷ 2.30
= 7
Total number of muffins in 1 set of 12 apple muffins and 12 cheese muffins
= 2 x 12
= 24
Number of muffins that Esther bought
= 7 x 24
= 168
(b)
Cost of muffins in 1 set of 12 apple muffins and 12 cheese muffins
= 6.40 + 8.70
= $15.10
Total amount that Esther spent altogether
= 7 x 15.10
= $105.70
Answer(s): (a) 168 ; (b) $105.70
