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

Pastry Prices
Puff	$1
Muffin	$2
Sandwich	$5

The ratio of the number of puffs sold to the number of muffins sold was 5 : 4. The ratio of the number of sandwiches sold to the number of muffins sold was 3 : 1. The cafe collected $10 more on the sales of sandwiches than the sales of puffs.

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

Puffs	Muffins	Sandwiches
5x3	4x3
	3x4	1x4
15 u	12 u	4 u

	Puffs	Muffins	Sandwiches
Number	15 u	12 u	4 u
Value	1	2	5
Total value	15 u	24 u	20 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 4 and 3 is 12.

Amount that the cafe collected more from the sales of the sandwiches than the puffs
= 20 u - 15 u
= 5 u

5 u = 10

1 u = 10 ÷ 5 = 2

Number of puffs that the cafe sold
= 15 u
= 15 x 2
= 30

(b)
Amount that the cafe collected from the sales of the pastries
= 15 u + 24 u + 20 u
= 59 u
= 59 x 2
= $118

Answer(s): (a) 30; (b) $118