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

Pastry Prices
Muffin	$1
Tart	$5
Scone	$3

The ratio of the number of muffins sold to the number of tarts sold was 3 : 2. The ratio of the number of scones sold to the number of tarts sold was 4 : 3. The confectionary collected $36 more on the sales of scones than the sales of muffins.

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

Muffins	Tarts	Scones
3x2	2x2
	4x1	3x1
6 u	4 u	3 u

	Muffins	Tarts	Scones
Number	6 u	4 u	3 u
Value	1	5	3
Total value	6 u	20 u	9 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 2 and 4 is 4.

Amount that the confectionary collected more from the sales of the scones than the muffins
= 9 u - 6 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Number of muffins that the cafe sold
= 6 u
= 6 x 12
= 72

(b)
Amount that the confectionary collected from the sales of the pastries
= 6 u + 20 u + 9 u
= 35 u
= 35 x 12
= $420

Answer(s): (a) 72; (b) $420