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

Pastry Prices
Tart	$1
Muffin	$2
Sandwich	$3

The ratio of the number of tarts sold to the number of muffins sold was 7 : 4. The ratio of the number of sandwiches sold to the number of muffins sold was 8 : 7. The stall collected $56 more on the sales of sandwiches than the sales of tarts.

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

Tarts	Muffins	Sandwiches
7x2	4x2
	8x1	7x1
14 u	8 u	7 u

	Tarts	Muffins	Sandwiches
Number	14 u	8 u	7 u
Value	1	2	3
Total value	14 u	16 u	21 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 4 and 8 is 8.

Amount that the stall collected more from the sales of the sandwiches than the tarts
= 21 u - 14 u
= 7 u

7 u = 56

1 u = 56 ÷ 7 = 8

Number of tarts that the cafe sold
= 14 u
= 14 x 8
= 112

(b)
Amount that the stall collected from the sales of the pastries
= 14 u + 16 u + 21 u
= 51 u
= 51 x 8
= $408

Answer(s): (a) 112; (b) $408