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

Pastry Prices
Muffin	$1
Sandwich	$2
Croissant	$4

The ratio of the number of muffins sold to the number of sandwiches sold was 2 : 1. The ratio of the number of croissants sold to the number of sandwiches sold was 5 : 3. The supermarket collected $6 more on the sales of croissants than the sales of muffins.

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

Muffins	Sandwiches	Croissants
2x5	1x5
	5x1	3x1
10 u	5 u	3 u

	Muffins	Sandwiches	Croissants
Number	10 u	5 u	3 u
Value	1	2	4
Total value	10 u	10 u	12 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 1 and 5 is 5.

Amount that the supermarket collected more from the sales of the croissants than the muffins
= 12 u - 10 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

Number of muffins that the cafe sold
= 10 u
= 10 x 3
= 30

(b)
Amount that the supermarket collected from the sales of the pastries
= 10 u + 10 u + 12 u
= 32 u
= 32 x 3
= $96

Answer(s): (a) 30; (b) $96