A confectionery sells chocolate chip tarts and blueberry tarts.
| Chocolate chip tarts |
Blueberry tarts |
| 5 for $2.60 |
4 for $3.50 |
Irene bought an equal number of chocolate chip tarts and blueberry tarts. She paid $49.70 more for the blueberry tarts and the chocolate chip tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Irene bought an equal number of chocolate chip tarts and blueberry tarts. Make the number of chocolate chip tarts and blueberry tarts the same. LCM of 5 and 4 is 20.
Number of sets of 5 in 20
= 20 ÷ 5
= 4
Cost of 1 set of 20 chocolate chip tarts
= 4 x 2.60
= $10.40
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 blueberry tarts
= 5 x 3.50
= $17.50
Amount that Irene paid more for 1 set of 20 blueberry tarts than 1 set of 20 chocolate chip tarts
= 17.50 - 10.40
= $7.10
Number of sets of $7.10
= 49.70 ÷ 7.10
= 7
Total number of tarts in 1 set of 20 blueberry tarts and 20 chocolate chip tarts
= 2 x 20
= 40
Number of tarts that Irene bought
= 7 x 40
= 280
(b)
Cost of tarts in 1 set of 20 blueberry tarts and 20 chocolate chip tarts
= 10.40 + 17.50
= $27.90
Total amount that Irene spent altogether
= 7 x 27.90
= $195.30
Answer(s): (a) 280 ; (b) $195.30
