A confectionery sells apple tarts and strawberry tarts.
| Apple tarts |
Strawberry tarts |
| 5 for $2.80 |
4 for $4.70 |
Esther bought an equal number of apple tarts and strawberry tarts. She paid $86.10 more for the strawberry tarts and the apple tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Esther bought an equal number of apple tarts and strawberry tarts. Make the number of apple tarts and strawberry tarts 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 tarts
= 4 x 2.80
= $11.20
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 strawberry tarts
= 5 x 4.70
= $23.50
Amount that Esther paid more for 1 set of 20 strawberry tarts than 1 set of 20 apple tarts
= 23.50 - 11.20
= $12.30
Number of sets of $12.30
= 86.10 ÷ 12.30
= 7
Total number of tarts in 1 set of 20 strawberry tarts and 20 apple tarts
= 2 x 20
= 40
Number of tarts that Esther bought
= 7 x 40
= 280
(b)
Cost of tarts in 1 set of 20 strawberry tarts and 20 apple tarts
= 11.20 + 23.50
= $34.70
Total amount that Esther spent altogether
= 7 x 34.70
= $242.90
Answer(s): (a) 280 ; (b) $242.90
