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

Pastry Prices
Sandwich	$2
Scone	$3
Croissant	$5

The ratio of the number of sandwiches sold to the number of scones sold was 7 : 5. The ratio of the number of croissants sold to the number of scones sold was 8 : 5. The stall collected $52 more on the sales of croissants than the sales of sandwiches.

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

Sandwiches	Scones	Croissants
7x8	5x8
	8x5	5x5
56 u	40 u	25 u

	Sandwiches	Scones	Croissants
Number	56 u	40 u	25 u
Value	2	3	5
Total value	112 u	120 u	125 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 5 and 8 is 40.

Amount that the stall collected more from the sales of the croissants than the sandwiches
= 125 u - 112 u
= 13 u

13 u = 52

1 u = 52 ÷ 13 = 4

Number of sandwiches that the cafe sold
= 56 u
= 56 x 4
= 224

(b)
Amount that the stall collected from the sales of the pastries
= 112 u + 120 u + 125 u
= 357 u
= 357 x 4
= $1428

Answer(s): (a) 224; (b) $1428