A confectionery sells apple tarts and cheese tarts.
| Apple tarts |
Cheese tarts |
| 5 for $4.40 |
3 for $3.90 |
Anna bought an equal number of apple tarts and cheese tarts. She paid $18.90 more for the cheese tarts and the apple tarts.
- How many tarts did she buy?
- How much did she spend altogether?
(a)
Anna bought an equal number of apple tarts and cheese tarts. Make the number of apple tarts and cheese 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 apple tarts
= 3 x 4.40
= $13.20
Number of sets of 3 in 15
= 15 ÷ 3
= 5
Cost of 1 set of 15 cheese tarts
= 5 x 3.90
= $19.50
Amount that Anna paid more for 1 set of 15 cheese tarts than 1 set of 15 apple tarts
= 19.50 - 13.20
= $6.30
Number of sets of $6.30
= 18.90 ÷ 6.30
= 3
Total number of tarts in 1 set of 15 cheese tarts and 15 apple tarts
= 2 x 15
= 30
Number of tarts that Anna bought
= 3 x 30
= 90
(b)
Cost of tarts in 1 set of 15 cheese tarts and 15 apple tarts
= 13.20 + 19.50
= $32.70
Total amount that Anna spent altogether
= 3 x 32.70
= $98.10
Answer(s): (a) 90 ; (b) $98.10
