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

Pastry Prices
Sandwich	$1
Scone	$4
Tart	$5

The ratio of the number of sandwiches sold to the number of scones sold was 3 : 2. The ratio of the number of tarts sold to the number of scones sold was 2 : 1. The supermarket collected $16 more on the sales of tarts than the sales of sandwiches.

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

Sandwiches	Scones	Tarts
3x1	2x1
	2x1	1x1
3 u	2 u	1 u

	Sandwiches	Scones	Tarts
Number	3 u	2 u	1 u
Value	1	4	5
Total value	3 u	8 u	5 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 2 and 2 is 2.

Amount that the supermarket collected more from the sales of the tarts than the sandwiches
= 5 u - 3 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of sandwiches that the cafe sold
= 3 u
= 3 x 8
= 24

(b)
Amount that the supermarket collected from the sales of the pastries
= 3 u + 8 u + 5 u
= 16 u
= 16 x 8
= $128

Answer(s): (a) 24; (b) $128