In a cafe, the prices of pastries are listed as follow:
Pastry Prices |
Muffin |
$1 |
Croissant |
$4 |
Sandwich |
$5 |
The ratio of the number of muffins sold to the number of croissants sold was 4 : 3. The ratio of the number of sandwiches sold to the number of croissants sold was 2 : 1. The cafe collected $35 more on the sales of sandwiches than the sales of muffins.
- How many muffins were sold?
- How much did the cafe collect from the sales of the pastries?
Muffins |
Croissants |
Sandwiches |
4x2 |
3x2 |
|
|
2x3 |
1x3 |
8 u |
6 u |
3 u |
|
Muffins |
Croissants |
Sandwiches |
Number |
8 u |
6 u |
3 u |
Value |
1 |
4 |
5 |
Total value |
8 u |
24 u |
15 u |
(a)
The number of croissants sold is repeated. Make the number of croissants the same. LCM of 3 and 2 is 6.
Amount that the cafe collected more from the sales of the sandwiches than the muffins
= 15 u - 8 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of muffins that the cafe sold
= 8 u
= 8 x 5
= 40
(b)
Amount that the cafe collected from the sales of the pastries
= 8 u + 24 u + 15 u
= 47 u
= 47 x 5
= $235
Answer(s): (a) 40; (b) $235