A confectionery sells apple tarts and cranberry tarts.
| Apple tarts |
Cranberry tarts |
| 6 for $2.40 |
4 for $2.30 |
Yen bought an equal number of apple tarts and cranberry tarts. She paid $10.50 more for the cranberry tarts and the apple tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Yen bought an equal number of apple tarts and cranberry tarts. Make the number of apple tarts and cranberry tarts 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 apple tarts
= 2 x 2.40
= $4.80
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 cranberry tarts
= 3 x 2.30
= $6.90
Amount that Yen paid more for 1 set of 12 cranberry tarts than 1 set of 12 apple tarts
= 6.90 - 4.80
= $2.10
Number of sets of $2.10
= 10.50 ÷ 2.10
= 5
Total number of tarts in 1 set of 12 cranberry tarts and 12 apple tarts
= 2 x 12
= 24
Number of tarts that Yen bought
= 5 x 24
= 120
(b)
Cost of tarts in 1 set of 12 cranberry tarts and 12 apple tarts
= 4.80 + 6.90
= $11.70
Total amount that Yen spent altogether
= 5 x 11.70
= $58.50
Answer(s): (a) 120 ; (b) $58.50
