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

Pastry Prices
Tart	$1
Croissant	$5
Sandwich	$4

The ratio of the number of tarts sold to the number of croissants sold was 6 : 5. The ratio of the number of sandwiches sold to the number of croissants sold was 4 : 3. The cafe collected $252 more on the sales of sandwiches than the sales of tarts.

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

Tarts	Croissants	Sandwiches
6x4	5x4
	4x5	3x5
24 u	20 u	15 u

	Tarts	Croissants	Sandwiches
Number	24 u	20 u	15 u
Value	1	5	4
Total value	24 u	100 u	60 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 5 and 4 is 20.

Amount that the cafe collected more from the sales of the sandwiches than the tarts
= 60 u - 24 u
= 36 u

36 u = 252

1 u = 252 ÷ 36 = 7

Number of tarts that the cafe sold
= 24 u
= 24 x 7
= 168

(b)
Amount that the cafe collected from the sales of the pastries
= 24 u + 100 u + 60 u
= 184 u
= 184 x 7
= $1288

Answer(s): (a) 168; (b) $1288