In a pastry shop, the prices of pastries are listed as follow:
Pastry Prices |
Sandwich |
$1 |
Tart |
$3 |
Puff |
$4 |
The ratio of the number of sandwiches sold to the number of tarts sold was 5 : 4. The ratio of the number of puffs sold to the number of tarts sold was 2 : 1. The pastry shop collected $15 more on the sales of puffs than the sales of sandwiches.
- How many sandwiches were sold?
- How much did the pastry shop collect from the sales of the pastries?
Sandwiches |
Tarts |
Puffs |
5x1 |
4x1 |
|
|
2x2 |
1x2 |
5 u |
4 u |
2 u |
|
Sandwiches |
Tarts |
Puffs |
Number |
5 u |
4 u |
2 u |
Value |
1 |
3 |
4 |
Total value |
5 u |
12 u |
8 u |
(a)
The number of tarts sold is repeated. Make the number of tarts the same. LCM of 4 and 2 is 4.
Amount that the pastry shop collected more from the sales of the puffs than the sandwiches
= 8 u - 5 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of sandwiches that the cafe sold
= 5 u
= 5 x 5
= 25
(b)
Amount that the pastry shop collected from the sales of the pastries
= 5 u + 12 u + 8 u
= 25 u
= 25 x 5
= $125
Answer(s): (a) 25; (b) $125