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

Pastry Prices
Puff	$1
Sandwich	$2
Tart	$3

The ratio of the number of puffs sold to the number of sandwiches sold was 8 : 5. The ratio of the number of tarts sold to the number of sandwiches sold was 4 : 3. The supermarket collected $52 more on the sales of tarts than the sales of puffs.

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

Puffs	Sandwiches	Tarts
8x4	5x4
	4x5	3x5
32 u	20 u	15 u

	Puffs	Sandwiches	Tarts
Number	32 u	20 u	15 u
Value	1	2	3
Total value	32 u	40 u	45 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 5 and 4 is 20.

Amount that the supermarket collected more from the sales of the tarts than the puffs
= 45 u - 32 u
= 13 u

13 u = 52

1 u = 52 ÷ 13 = 4

Number of puffs that the cafe sold
= 32 u
= 32 x 4
= 128

(b)
Amount that the supermarket collected from the sales of the pastries
= 32 u + 40 u + 45 u
= 117 u
= 117 x 4
= $468

Answer(s): (a) 128; (b) $468