In a shop, the prices of pastries are listed as follow:
Pastry Prices |
Puff |
$1 |
Muffin |
$4 |
Sandwich |
$5 |
The ratio of the number of puffs sold to the number of muffins sold was 4 : 3. The ratio of the number of sandwiches sold to the number of muffins sold was 7 : 6. The shop collected $434 more on the sales of sandwiches than the sales of puffs.
- How many puffs were sold?
- How much did the shop collect from the sales of the pastries?
Puffs |
Muffins |
Sandwiches |
4x7 |
3x7 |
|
|
7x3 |
6x3 |
28 u |
21 u |
18 u |
|
Puffs |
Muffins |
Sandwiches |
Number |
28 u |
21 u |
18 u |
Value |
1 |
4 |
5 |
Total value |
28 u |
84 u |
90 u |
(a)
The number of muffins sold is repeated. Make the number of muffins the same. LCM of 3 and 7 is 21.
Amount that the shop collected more from the sales of the sandwiches than the puffs
= 90 u - 28 u
= 62 u
62 u = 434
1 u = 434 ÷ 62 = 7
Number of puffs that the cafe sold
= 28 u
= 28 x 7
= 196
(b)
Amount that the shop collected from the sales of the pastries
= 28 u + 84 u + 90 u
= 202 u
= 202 x 7
= $1414
Answer(s): (a) 196; (b) $1414