In a pastry shop, the prices of pastries are listed as follow:
Pastry Prices |
Puff |
$1 |
Croissant |
$2 |
Tart |
$4 |
The ratio of the number of puffs sold to the number of croissants sold was 3 : 1. The ratio of the number of tarts sold to the number of croissants sold was 6 : 5. The pastry shop collected $22 more on the sales of tarts than the sales of puffs.
- How many puffs were sold?
- How much did the pastry shop collect from the sales of the pastries?
Puffs |
Croissants |
Tarts |
3x6 |
1x6 |
|
|
6x1 |
5x1 |
18 u |
6 u |
5 u |
|
Puffs |
Croissants |
Tarts |
Number |
18 u |
6 u |
5 u |
Value |
1 |
2 |
4 |
Total value |
18 u |
12 u |
20 u |
(a)
The number of croissants sold is repeated. Make the number of croissants the same. LCM of 1 and 6 is 6.
Amount that the pastry shop collected more from the sales of the tarts than the puffs
= 20 u - 18 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of puffs that the cafe sold
= 18 u
= 18 x 11
= 198
(b)
Amount that the pastry shop collected from the sales of the pastries
= 18 u + 12 u + 20 u
= 50 u
= 50 x 11
= $550
Answer(s): (a) 198; (b) $550