A confectionery sells cranberry tarts and vanilla tarts.
| Cranberry tarts |
Vanilla tarts |
| 6 for $2.20 |
4 for $4.30 |
Dana bought an equal number of cranberry tarts and vanilla tarts. She paid $680 more for the vanilla tarts and the cranberry tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Dana bought an equal number of cranberry tarts and vanilla tarts. Make the number of cranberry tarts and vanilla 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 cranberry tarts
= 2 x 2.20
= $4.40
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 vanilla tarts
= 3 x 4.30
= $12.90
Amount that Dana paid more for 1 set of 12 vanilla tarts than 1 set of 12 cranberry tarts
= 12.90 - 4.40
= $8.50
Number of sets of $8.50
= 680 ÷ 8.50
= 8
Total number of tarts in 1 set of 12 vanilla tarts and 12 cranberry tarts
= 2 x 12
= 24
Number of tarts that Dana bought
= 8 x 24
= 192
(b)
Cost of tarts in 1 set of 12 vanilla tarts and 12 cranberry tarts
= 4.40 + 12.90
= $17.30
Total amount that Dana spent altogether
= 8 x 17.30
= $138.40
Answer(s): (a) 192 ; (b) $138.40
