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

Pastry Prices
Tart	$2
Scone	$5
Muffin	$4

The ratio of the number of tarts sold to the number of scones sold was 3 : 2. The ratio of the number of muffins sold to the number of scones sold was 8 : 7. The confectionary collected $48 more on the sales of muffins 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	Scones	Muffins
3x4	2x4
	8x1	7x1
12 u	8 u	7 u

	Tarts	Scones	Muffins
Number	12 u	8 u	7 u
Value	2	5	4
Total value	24 u	40 u	28 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 2 and 8 is 8.

Amount that the confectionary collected more from the sales of the muffins than the tarts
= 28 u - 24 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Number of tarts that the cafe sold
= 12 u
= 12 x 12
= 144

(b)
Amount that the confectionary collected from the sales of the pastries
= 24 u + 40 u + 28 u
= 92 u
= 92 x 12
= $1104

Answer(s): (a) 144; (b) $1104