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

Pastry Prices
Tart	$1
Sandwich	$5
Muffin	$4

The ratio of the number of tarts sold to the number of sandwiches sold was 4 : 3. The ratio of the number of muffins sold to the number of sandwiches sold was 2 : 1. The bakery collected $40 more on the sales of muffins than the sales of tarts.

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

Tarts	Sandwiches	Muffins
4x2	3x2
	2x3	1x3
8 u	6 u	3 u

	Tarts	Sandwiches	Muffins
Number	8 u	6 u	3 u
Value	1	5	4
Total value	8 u	30 u	12 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 3 and 2 is 6.

Amount that the bakery collected more from the sales of the muffins than the tarts
= 12 u - 8 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of tarts that the cafe sold
= 8 u
= 8 x 10
= 80

(b)
Amount that the bakery collected from the sales of the pastries
= 8 u + 30 u + 12 u
= 50 u
= 50 x 10
= $500

Answer(s): (a) 80; (b) $500