In a pastry shop, the prices of pastries are listed as follow:
Pastry Prices |
Croissant |
$1 |
Scone |
$4 |
Muffin |
$5 |
The ratio of the number of croissants sold to the number of scones sold was 8 : 3. The ratio of the number of muffins sold to the number of scones sold was 8 : 7. The pastry shop collected $246 more on the sales of muffins than the sales of croissants.
- How many croissants were sold?
- How much did the pastry shop collect from the sales of the pastries?
Croissants |
Scones |
Muffins |
8x8 |
3x8 |
|
|
8x3 |
7x3 |
64 u |
24 u |
21 u |
|
Croissants |
Scones |
Muffins |
Number |
64 u |
24 u |
21 u |
Value |
1 |
4 |
5 |
Total value |
64 u |
96 u |
105 u |
(a)
The number of scones sold is repeated. Make the number of scones the same. LCM of 3 and 8 is 24.
Amount that the pastry shop collected more from the sales of the muffins than the croissants
= 105 u - 64 u
= 41 u
41 u = 246
1 u = 246 ÷ 41 = 6
Number of croissants that the cafe sold
= 64 u
= 64 x 6
= 384
(b)
Amount that the pastry shop collected from the sales of the pastries
= 64 u + 96 u + 105 u
= 265 u
= 265 x 6
= $1590
Answer(s): (a) 384; (b) $1590