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

Pastry Prices
Croissant	$2
Sandwich	$3
Muffin	$5

The ratio of the number of croissants sold to the number of sandwiches sold was 4 : 3. The ratio of the number of muffins sold to the number of sandwiches sold was 5 : 3. The confectionary collected $40 more on the sales of muffins than the sales of croissants.

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

Croissants	Sandwiches	Muffins
4x5	3x5
	5x3	3x3
20 u	15 u	9 u

	Croissants	Sandwiches	Muffins
Number	20 u	15 u	9 u
Value	2	3	5
Total value	40 u	45 u	45 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 3 and 5 is 15.

Amount that the confectionary collected more from the sales of the muffins than the croissants
= 45 u - 40 u
= 5 u

5 u = 40

1 u = 40 ÷ 5 = 8

Number of croissants that the cafe sold
= 20 u
= 20 x 8
= 160

(b)
Amount that the confectionary collected from the sales of the pastries
= 40 u + 45 u + 45 u
= 130 u
= 130 x 8
= $1040

Answer(s): (a) 160; (b) $1040