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

Pastry Prices
Croissant	$1
Sandwich	$5
Scone	$2

The ratio of the number of croissants sold to the number of sandwiches sold was 6 : 5. The ratio of the number of scones sold to the number of sandwiches sold was 4 : 3. The cafe collected $18 more on the sales of scones than the sales of croissants.

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

Croissants	Sandwiches	Scones
6x4	5x4
	4x5	3x5
24 u	20 u	15 u

	Croissants	Sandwiches	Scones
Number	24 u	20 u	15 u
Value	1	5	2
Total value	24 u	100 u	30 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 5 and 4 is 20.

Amount that the cafe collected more from the sales of the scones than the croissants
= 30 u - 24 u
= 6 u

6 u = 18

1 u = 18 ÷ 6 = 3

Number of croissants that the cafe sold
= 24 u
= 24 x 3
= 72

(b)
Amount that the cafe collected from the sales of the pastries
= 24 u + 100 u + 30 u
= 154 u
= 154 x 3
= $462

Answer(s): (a) 72; (b) $462