In a confectionary, the prices of pastries are listed as follow:

Pastry Prices
Sandwich	$1
Croissant	$5
Muffin	$4

The ratio of the number of sandwiches sold to the number of croissants sold was 2 : 1. The ratio of the number of muffins sold to the number of croissants sold was 4 : 3. The confectionary collected $28 more on the sales of muffins than the sales of sandwiches.

1. How many sandwiches were sold?
2. How much did the confectionary collect from the sales of the pastries?

Sandwiches	Croissants	Muffins
2x4	1x4
	4x1	3x1
8 u	4 u	3 u

	Sandwiches	Croissants	Muffins
Number	8 u	4 u	3 u
Value	1	5	4
Total value	8 u	20 u	12 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 1 and 4 is 4.

Amount that the confectionary collected more from the sales of the muffins than the sandwiches
= 12 u - 8 u
= 4 u

4 u = 28

1 u = 28 ÷ 4 = 7

Number of sandwiches that the cafe sold
= 8 u
= 8 x 7
= 56

(b)
Amount that the confectionary collected from the sales of the pastries
= 8 u + 20 u + 12 u
= 40 u
= 40 x 7
= $280

Answer(s): (a) 56; (b) $280