In a pastry shop, the prices of pastries are listed as follow:
Pastry Prices |
Muffin |
$1 |
Scone |
$3 |
Croissant |
$4 |
The ratio of the number of muffins sold to the number of scones sold was 2 : 1. The ratio of the number of croissants sold to the number of scones sold was 8 : 7. The pastry shop collected $48 more on the sales of croissants than the sales of muffins.
- How many muffins were sold?
- How much did the pastry shop collect from the sales of the pastries?
Muffins |
Scones |
Croissants |
2x8 |
1x8 |
|
|
8x1 |
7x1 |
16 u |
8 u |
7 u |
|
Muffins |
Scones |
Croissants |
Number |
16 u |
8 u |
7 u |
Value |
1 |
3 |
4 |
Total value |
16 u |
24 u |
28 u |
(a)
The number of scones sold is repeated. Make the number of scones the same. LCM of 1 and 8 is 8.
Amount that the pastry shop collected more from the sales of the croissants than the muffins
= 28 u - 16 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Number of muffins that the cafe sold
= 16 u
= 16 x 4
= 64
(b)
Amount that the pastry shop collected from the sales of the pastries
= 16 u + 24 u + 28 u
= 68 u
= 68 x 4
= $272
Answer(s): (a) 64; (b) $272