A confectionery sells blueberry tarts and chocolate chip tarts.
| Blueberry tarts |
Chocolate chip tarts |
| 5 for $2.90 |
3 for $2.90 |
Rachel bought an equal number of blueberry tarts and chocolate chip tarts. She paid $46.40 more for the chocolate chip tarts and the blueberry tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Rachel bought an equal number of blueberry tarts and chocolate chip tarts. Make the number of blueberry tarts and chocolate chip tarts the same. LCM of 5 and 3 is 15.
Number of sets of 5 in 15
= 15 ÷ 5
= 3
Cost of 1 set of 15 blueberry tarts
= 3 x 2.90
= $8.70
Number of sets of 3 in 15
= 15 ÷ 3
= 5
Cost of 1 set of 15 chocolate chip tarts
= 5 x 2.90
= $14.50
Amount that Rachel paid more for 1 set of 15 chocolate chip tarts than 1 set of 15 blueberry tarts
= 14.50 - 8.70
= $5.80
Number of sets of $5.80
= 46.40 ÷ 5.80
= 8
Total number of tarts in 1 set of 15 chocolate chip tarts and 15 blueberry tarts
= 2 x 15
= 30
Number of tarts that Rachel bought
= 8 x 30
= 240
(b)
Cost of tarts in 1 set of 15 chocolate chip tarts and 15 blueberry tarts
= 8.70 + 14.50
= $23.20
Total amount that Rachel spent altogether
= 8 x 23.20
= $185.60
Answer(s): (a) 240 ; (b) $185.60
