A confectionery sells blueberry tarts and vanilla tarts.
| Blueberry tarts |
Vanilla tarts |
| 4 for $3.70 |
3 for $4.30 |
Marion bought an equal number of blueberry tarts and vanilla tarts. She paid $30.50 more for the vanilla tarts and the blueberry tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Marion bought an equal number of blueberry tarts and vanilla tarts. Make the number of blueberry tarts and vanilla tarts the same. LCM of 4 and 3 is 12.
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 blueberry tarts
= 3 x 3.70
= $11.10
Number of sets of 3 in 12
= 12 ÷ 3
= 4
Cost of 1 set of 12 vanilla tarts
= 4 x 4.30
= $17.20
Amount that Marion paid more for 1 set of 12 vanilla tarts than 1 set of 12 blueberry tarts
= 17.20 - 11.10
= $6.10
Number of sets of $6.10
= 30.50 ÷ 6.10
= 5
Total number of tarts in 1 set of 12 vanilla tarts and 12 blueberry tarts
= 2 x 12
= 24
Number of tarts that Marion bought
= 5 x 24
= 120
(b)
Cost of tarts in 1 set of 12 vanilla tarts and 12 blueberry tarts
= 11.10 + 17.20
= $28.30
Total amount that Marion spent altogether
= 5 x 28.30
= $141.50
Answer(s): (a) 120 ; (b) $141.50
