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

Pastry Prices
Croissant	$1
Scone	$2
Puff	$3

The ratio of the number of croissants sold to the number of scones sold was 6 : 5. The ratio of the number of puffs sold to the number of scones sold was 5 : 4. The shop collected $30 more on the sales of puffs 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	Puffs
6x1	5x1
	5x1	4x1
6 u	5 u	4 u

	Croissants	Scones	Puffs
Number	6 u	5 u	4 u
Value	1	2	3
Total value	6 u	10 u	12 u

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

Amount that the shop collected more from the sales of the puffs than the croissants
= 12 u - 6 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

Number of croissants that the cafe sold
= 6 u
= 6 x 5
= 30

(b)
Amount that the shop collected from the sales of the pastries
= 6 u + 10 u + 12 u
= 28 u
= 28 x 5
= $140

Answer(s): (a) 30; (b) $140