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

Pastry Prices
Sandwich	$1
Puff	$3
Scone	$5

The ratio of the number of sandwiches sold to the number of puffs sold was 4 : 3. The ratio of the number of scones sold to the number of puffs sold was 7 : 3. The cafe collected $136 more on the sales of scones than the sales of sandwiches.

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

Sandwiches	Puffs	Scones
4x7	3x7
	7x3	3x3
28 u	21 u	9 u

	Sandwiches	Puffs	Scones
Number	28 u	21 u	9 u
Value	1	3	5
Total value	28 u	63 u	45 u

(a)
The number of puffs sold is repeated.  Make the number of puffs the same.  LCM of 3 and 7 is 21.

Amount that the cafe collected more from the sales of the scones than the sandwiches
= 45 u - 28 u
= 17 u

17 u = 136

1 u = 136 ÷ 17 = 8

Number of sandwiches that the cafe sold
= 28 u
= 28 x 8
= 224

(b)
Amount that the cafe collected from the sales of the pastries
= 28 u + 63 u + 45 u
= 136 u
= 136 x 8
= $1088

Answer(s): (a) 224; (b) $1088