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

Pastry Prices
Tart	$1
Croissant	$2
Muffin	$4

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 3 : 2. The shop collected $8 more on the sales of muffins than the sales of tarts.

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

Tarts	Croissants	Muffins
2x3	1x3
	3x1	2x1
6 u	3 u	2 u

	Tarts	Croissants	Muffins
Number	6 u	3 u	2 u
Value	1	2	4
Total value	6 u	6 u	8 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 1 and 3 is 3.

Amount that the shop collected more from the sales of the muffins than the tarts
= 8 u - 6 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of tarts that the cafe sold
= 6 u
= 6 x 4
= 24

(b)
Amount that the shop collected from the sales of the pastries
= 6 u + 6 u + 8 u
= 20 u
= 20 x 4
= $80

Answer(s): (a) 24; (b) $80