In a bakery, the prices of pastries are listed as follow:
Pastry Prices |
Muffin |
$1 |
Sandwich |
$5 |
Scone |
$4 |
The ratio of the number of muffins sold to the number of sandwiches sold was 7 : 5. The ratio of the number of scones sold to the number of sandwiches sold was 3 : 2. The bakery collected $228 more on the sales of scones than the sales of muffins.
- How many muffins were sold?
- How much did the bakery collect from the sales of the pastries?
Muffins |
Sandwiches |
Scones |
7x3 |
5x3 |
|
|
3x5 |
2x5 |
21 u |
15 u |
10 u |
|
Muffins |
Sandwiches |
Scones |
Number |
21 u |
15 u |
10 u |
Value |
1 |
5 |
4 |
Total value |
21 u |
75 u |
40 u |
(a)
The number of sandwiches sold is repeated. Make the number of sandwiches the same. LCM of 5 and 3 is 15.
Amount that the bakery collected more from the sales of the scones than the muffins
= 40 u - 21 u
= 19 u
19 u = 228
1 u = 228 ÷ 19 = 12
Number of muffins that the cafe sold
= 21 u
= 21 x 12
= 252
(b)
Amount that the bakery collected from the sales of the pastries
= 21 u + 75 u + 40 u
= 136 u
= 136 x 12
= $1632
Answer(s): (a) 252; (b) $1632