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

Pastry Prices
Tart	$1
Croissant	$4
Muffin	$5

The ratio of the number of tarts sold to the number of croissants sold was 2 : 1. The ratio of the number of muffins sold to the number of croissants sold was 5 : 3. The confectionary collected $50 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	Croissants	Muffins
2x5	1x5
	5x1	3x1
10 u	5 u	3 u

	Tarts	Croissants	Muffins
Number	10 u	5 u	3 u
Value	1	4	5
Total value	10 u	20 u	15 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 1 and 5 is 5.

Amount that the confectionary collected more from the sales of the muffins than the tarts
= 15 u - 10 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Number of tarts that the cafe sold
= 10 u
= 10 x 10
= 100

(b)
Amount that the confectionary collected from the sales of the pastries
= 10 u + 20 u + 15 u
= 45 u
= 45 x 10
= $450

Answer(s): (a) 100; (b) $450