In a supermarket, the prices of pastries are listed as follow:
Pastry Prices |
Puff |
$1 |
Tart |
$3 |
Croissant |
$4 |
The ratio of the number of puffs sold to the number of tarts sold was 6 : 5. The ratio of the number of croissants sold to the number of tarts sold was 8 : 5. The supermarket collected $468 more on the sales of croissants than the sales of puffs.
- How many puffs were sold?
- How much did the supermarket collect from the sales of the pastries?
Puffs |
Tarts |
Croissants |
6x8 |
5x8 |
|
|
8x5 |
5x5 |
48 u |
40 u |
25 u |
|
Puffs |
Tarts |
Croissants |
Number |
48 u |
40 u |
25 u |
Value |
1 |
3 |
4 |
Total value |
48 u |
120 u |
100 u |
(a)
The number of tarts sold is repeated. Make the number of tarts the same. LCM of 5 and 8 is 40.
Amount that the supermarket collected more from the sales of the croissants than the puffs
= 100 u - 48 u
= 52 u
52 u = 468
1 u = 468 ÷ 52 = 9
Number of puffs that the cafe sold
= 48 u
= 48 x 9
= 432
(b)
Amount that the supermarket collected from the sales of the pastries
= 48 u + 120 u + 100 u
= 268 u
= 268 x 9
= $2412
Answer(s): (a) 432; (b) $2412