A confectionery sells cherry tarts and vanilla tarts.
| Cherry tarts |
Vanilla tarts |
| 7 for $3.10 |
5 for $3.90 |
Kylie bought an equal number of cherry tarts and vanilla tarts. She paid $82.60 more for the vanilla tarts and the cherry tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Kylie bought an equal number of cherry tarts and vanilla tarts. Make the number of cherry tarts and vanilla tarts the same. LCM of 7 and 5 is 35.
Number of sets of 7 in 35
= 35 ÷ 7
= 5
Cost of 1 set of 35 cherry tarts
= 5 x 3.10
= $15.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 vanilla tarts
= 7 x 3.90
= $27.30
Amount that Kylie paid more for 1 set of 35 vanilla tarts than 1 set of 35 cherry tarts
= 27.30 - 15.50
= $11.80
Number of sets of $11.80
= 82.60 ÷ 11.80
= 7
Total number of tarts in 1 set of 35 vanilla tarts and 35 cherry tarts
= 2 x 35
= 70
Number of tarts that Kylie bought
= 7 x 70
= 490
(b)
Cost of tarts in 1 set of 35 vanilla tarts and 35 cherry tarts
= 15.50 + 27.30
= $42.80
Total amount that Kylie spent altogether
= 7 x 42.80
= $299.60
Answer(s): (a) 490 ; (b) $299.60
