In a shop, the prices of pastries are listed as follow:
Pastry Prices |
Tart |
$1 |
Croissant |
$3 |
Sandwich |
$4 |
The ratio of the number of tarts sold to the number of croissants sold was 7 : 6. The ratio of the number of sandwiches sold to the number of croissants sold was 4 : 3. The shop collected $154 more on the sales of sandwiches than the sales of tarts.
- How many tarts were sold?
- How much did the shop collect from the sales of the pastries?
Tarts |
Croissants |
Sandwiches |
7x2 |
6x2 |
|
|
4x3 |
3x3 |
14 u |
12 u |
9 u |
|
Tarts |
Croissants |
Sandwiches |
Number |
14 u |
12 u |
9 u |
Value |
1 |
3 |
4 |
Total value |
14 u |
36 u |
36 u |
(a)
The number of croissants sold is repeated. Make the number of croissants the same. LCM of 6 and 4 is 12.
Amount that the shop collected more from the sales of the sandwiches than the tarts
= 36 u - 14 u
= 22 u
22 u = 154
1 u = 154 ÷ 22 = 7
Number of tarts that the cafe sold
= 14 u
= 14 x 7
= 98
(b)
Amount that the shop collected from the sales of the pastries
= 14 u + 36 u + 36 u
= 86 u
= 86 x 7
= $602
Answer(s): (a) 98; (b) $602