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

Pastry Prices
Croissant	$1
Scone	$4
Sandwich	$5

The ratio of the number of croissants sold to the number of scones sold was 2 : 1. The ratio of the number of sandwiches sold to the number of scones sold was 6 : 5. The shop collected $52 more on the sales of sandwiches than the sales of croissants.

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

Croissants	Scones	Sandwiches
2x6	1x6
	6x1	5x1
12 u	6 u	5 u

	Croissants	Scones	Sandwiches
Number	12 u	6 u	5 u
Value	1	4	5
Total value	12 u	24 u	25 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 1 and 6 is 6.

Amount that the shop collected more from the sales of the sandwiches than the croissants
= 25 u - 12 u
= 13 u

13 u = 52

1 u = 52 ÷ 13 = 4

Number of croissants that the cafe sold
= 12 u
= 12 x 4
= 48

(b)
Amount that the shop collected from the sales of the pastries
= 12 u + 24 u + 25 u
= 61 u
= 61 x 4
= $244

Answer(s): (a) 48; (b) $244