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

Pastry Prices
Scone	$1
Muffin	$2
Croissant	$4

The ratio of the number of scones sold to the number of muffins sold was 5 : 3. The ratio of the number of croissants sold to the number of muffins sold was 2 : 1. The shop collected $8 more on the sales of croissants than the sales of scones.

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

Scones	Muffins	Croissants
5x2	3x2
	2x3	1x3
10 u	6 u	3 u

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

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 3 and 2 is 6.

Amount that the shop collected more from the sales of the croissants than the scones
= 12 u - 10 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of scones that the cafe sold
= 10 u
= 10 x 4
= 40

(b)
Amount that the shop collected from the sales of the pastries
= 10 u + 12 u + 12 u
= 34 u
= 34 x 4
= $136

Answer(s): (a) 40; (b) $136