In a pastry shop, the prices of pastries are listed as follow:
Pastry Prices |
Tart |
$1 |
Scone |
$3 |
Croissant |
$5 |
The ratio of the number of tarts sold to the number of scones sold was 5 : 3. The ratio of the number of croissants sold to the number of scones sold was 8 : 3. The pastry shop collected $10 more on the sales of croissants than the sales of tarts.
- How many tarts were sold?
- How much did the pastry shop collect from the sales of the pastries?
Tarts |
Scones |
Croissants |
5x8 |
3x8 |
|
|
8x3 |
3x3 |
40 u |
24 u |
9 u |
|
Tarts |
Scones |
Croissants |
Number |
40 u |
24 u |
9 u |
Value |
1 |
3 |
5 |
Total value |
40 u |
72 u |
45 u |
(a)
The number of scones sold is repeated. Make the number of scones the same. LCM of 3 and 8 is 24.
Amount that the pastry shop collected more from the sales of the croissants than the tarts
= 45 u - 40 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of tarts that the cafe sold
= 40 u
= 40 x 2
= 80
(b)
Amount that the pastry shop collected from the sales of the pastries
= 40 u + 72 u + 45 u
= 157 u
= 157 x 2
= $314
Answer(s): (a) 80; (b) $314