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

Pastry Prices
Scone	$1
Tart	$5
Sandwich	$4

The ratio of the number of scones sold to the number of tarts sold was 2 : 1. The ratio of the number of sandwiches sold to the number of tarts sold was 8 : 5. The confectionary collected $20 more on the sales of sandwiches than the sales of scones.

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

Scones	Tarts	Sandwiches
2x8	1x8
	8x1	5x1
16 u	8 u	5 u

	Scones	Tarts	Sandwiches
Number	16 u	8 u	5 u
Value	1	5	4
Total value	16 u	40 u	20 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 1 and 8 is 8.

Amount that the confectionary collected more from the sales of the sandwiches than the scones
= 20 u - 16 u
= 4 u

4 u = 20

1 u = 20 ÷ 4 = 5

Number of scones that the cafe sold
= 16 u
= 16 x 5
= 80

(b)
Amount that the confectionary collected from the sales of the pastries
= 16 u + 40 u + 20 u
= 76 u
= 76 x 5
= $380

Answer(s): (a) 80; (b) $380