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

Pastry Prices
Puff	$1
Sandwich	$3
Scone	$2

The ratio of the number of puffs sold to the number of sandwiches sold was 4 : 3. The ratio of the number of scones sold to the number of sandwiches sold was 5 : 4. The confectionary collected $28 more on the sales of scones 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	Sandwiches	Scones
4x5	3x5
	5x3	4x3
20 u	15 u	12 u

	Puffs	Sandwiches	Scones
Number	20 u	15 u	12 u
Value	1	3	2
Total value	20 u	45 u	24 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 3 and 5 is 15.

Amount that the confectionary collected more from the sales of the scones than the puffs
= 24 u - 20 u
= 4 u

4 u = 28

1 u = 28 ÷ 4 = 7

Number of puffs that the cafe sold
= 20 u
= 20 x 7
= 140

(b)
Amount that the confectionary collected from the sales of the pastries
= 20 u + 45 u + 24 u
= 89 u
= 89 x 7
= $623

Answer(s): (a) 140; (b) $623