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

Pastry Prices
Tart	$1
Muffin	$2
Scone	$5

The ratio of the number of tarts sold to the number of muffins sold was 2 : 1. The ratio of the number of scones sold to the number of muffins sold was 8 : 5. The confectionary collected $90 more on the sales of scones than the sales of tarts.

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

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

	Tarts	Muffins	Scones
Number	16 u	8 u	5 u
Value	1	2	5
Total value	16 u	16 u	25 u

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

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

9 u = 90

1 u = 90 ÷ 9 = 10

Number of tarts that the cafe sold
= 16 u
= 16 x 10
= 160

(b)
Amount that the confectionary collected from the sales of the pastries
= 16 u + 16 u + 25 u
= 57 u
= 57 x 10
= $570

Answer(s): (a) 160; (b) $570