In a stall, the prices of pastries are listed as follow:
Pastry Prices |
Muffin |
$1 |
Tart |
$2 |
Sandwich |
$3 |
The ratio of the number of muffins sold to the number of tarts sold was 2 : 1. The ratio of the number of sandwiches sold to the number of tarts sold was 7 : 6. The stall collected $28 more on the sales of sandwiches than the sales of muffins.
- How many muffins were sold?
- How much did the stall collect from the sales of the pastries?
Muffins |
Tarts |
Sandwiches |
2x7 |
1x7 |
|
|
7x1 |
6x1 |
14 u |
7 u |
6 u |
|
Muffins |
Tarts |
Sandwiches |
Number |
14 u |
7 u |
6 u |
Value |
1 |
2 |
3 |
Total value |
14 u |
14 u |
18 u |
(a)
The number of tarts sold is repeated. Make the number of tarts the same. LCM of 1 and 7 is 7.
Amount that the stall collected more from the sales of the sandwiches than the muffins
= 18 u - 14 u
= 4 u
4 u = 28
1 u = 28 ÷ 4 = 7
Number of muffins that the cafe sold
= 14 u
= 14 x 7
= 98
(b)
Amount that the stall collected from the sales of the pastries
= 14 u + 14 u + 18 u
= 46 u
= 46 x 7
= $322
Answer(s): (a) 98; (b) $322