In a stall, the prices of pastries are listed as follow:
Pastry Prices |
Puff |
$1 |
Croissant |
$5 |
Scone |
$4 |
The ratio of the number of puffs sold to the number of croissants sold was 7 : 5. The ratio of the number of scones sold to the number of croissants sold was 8 : 5. The stall collected $352 more on the sales of scones than the sales of puffs.
- How many puffs were sold?
- How much did the stall collect from the sales of the pastries?
Puffs |
Croissants |
Scones |
7x8 |
5x8 |
|
|
8x5 |
5x5 |
56 u |
40 u |
25 u |
|
Puffs |
Croissants |
Scones |
Number |
56 u |
40 u |
25 u |
Value |
1 |
5 |
4 |
Total value |
56 u |
200 u |
100 u |
(a)
The number of croissants sold is repeated. Make the number of croissants the same. LCM of 5 and 8 is 40.
Amount that the stall collected more from the sales of the scones than the puffs
= 100 u - 56 u
= 44 u
44 u = 352
1 u = 352 ÷ 44 = 8
Number of puffs that the cafe sold
= 56 u
= 56 x 8
= 448
(b)
Amount that the stall collected from the sales of the pastries
= 56 u + 200 u + 100 u
= 356 u
= 356 x 8
= $2848
Answer(s): (a) 448; (b) $2848