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

Pastry Prices
Scone	$1
Tart	$4
Croissant	$5

The ratio of the number of scones sold to the number of tarts sold was 3 : 2. The ratio of the number of croissants sold to the number of tarts sold was 6 : 5. The confectionary collected $32 more on the sales of croissants than the sales of scones.

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

Scones	Tarts	Croissants
3x3	2x3
	6x1	5x1
9 u	6 u	5 u

	Scones	Tarts	Croissants
Number	9 u	6 u	5 u
Value	1	4	5
Total value	9 u	24 u	25 u

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

Amount that the confectionary collected more from the sales of the croissants than the scones
= 25 u - 9 u
= 16 u

16 u = 32

1 u = 32 ÷ 16 = 2

Number of scones that the cafe sold
= 9 u
= 9 x 2
= 18

(b)
Amount that the confectionary collected from the sales of the pastries
= 9 u + 24 u + 25 u
= 58 u
= 58 x 2
= $116

Answer(s): (a) 18; (b) $116