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

Pastry Prices
Puff	$1
Tart	$5
Croissant	$4

The ratio of the number of puffs sold to the number of tarts sold was 4 : 3. The ratio of the number of croissants sold to the number of tarts sold was 2 : 1. The confectionary collected $32 more on the sales of croissants than the sales of puffs.

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

Puffs	Tarts	Croissants
4x2	3x2
	2x3	1x3
8 u	6 u	3 u

	Puffs	Tarts	Croissants
Number	8 u	6 u	3 u
Value	1	5	4
Total value	8 u	30 u	12 u

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

Amount that the confectionary collected more from the sales of the croissants than the puffs
= 12 u - 8 u
= 4 u

4 u = 32

1 u = 32 ÷ 4 = 8

Number of puffs that the cafe sold
= 8 u
= 8 x 8
= 64

(b)
Amount that the confectionary collected from the sales of the pastries
= 8 u + 30 u + 12 u
= 50 u
= 50 x 8
= $400

Answer(s): (a) 64; (b) $400