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

Pastry Prices
Tart	$1
Sandwich	$4
Scone	$5

The ratio of the number of tarts sold to the number of sandwiches sold was 8 : 5. The ratio of the number of scones sold to the number of sandwiches sold was 2 : 1. The pastry shop collected $45 more on the sales of scones than the sales of tarts.

1. How many tarts were sold?
2. How much did the pastry shop collect from the sales of the pastries?

Tarts	Sandwiches	Scones
8x2	5x2
	2x5	1x5
16 u	10 u	5 u

	Tarts	Sandwiches	Scones
Number	16 u	10 u	5 u
Value	1	4	5
Total value	16 u	40 u	25 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 5 and 2 is 10.

Amount that the pastry shop collected more from the sales of the scones than the tarts
= 25 u - 16 u
= 9 u

9 u = 45

1 u = 45 ÷ 9 = 5

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

(b)
Amount that the pastry shop collected from the sales of the pastries
= 16 u + 40 u + 25 u
= 81 u
= 81 x 5
= $405

Answer(s): (a) 80; (b) $405