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

Pastry Prices
Puff	$1
Sandwich	$5
Muffin	$4

The ratio of the number of puffs sold to the number of sandwiches sold was 2 : 1. The ratio of the number of muffins sold to the number of sandwiches sold was 8 : 5. The supermarket collected $20 more on the sales of muffins 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	Muffins
2x8	1x8
	8x1	5x1
16 u	8 u	5 u

	Puffs	Sandwiches	Muffins
Number	16 u	8 u	5 u
Value	1	5	4
Total value	16 u	40 u	20 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 1 and 8 is 8.

Amount that the supermarket collected more from the sales of the muffins than the puffs
= 20 u - 16 u
= 4 u

4 u = 20

1 u = 20 ÷ 4 = 5

Number of puffs that the cafe sold
= 16 u
= 16 x 5
= 80

(b)
Amount that the supermarket collected from the sales of the pastries
= 16 u + 40 u + 20 u
= 76 u
= 76 x 5
= $380

Answer(s): (a) 80; (b) $380