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

Pastry Prices
Tart	$1
Scone	$4
Muffin	$3

The ratio of the number of tarts sold to the number of scones sold was 7 : 5. The ratio of the number of muffins sold to the number of scones sold was 5 : 3. The cafe collected $16 more on the sales of muffins 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	Scones	Muffins
7x1	5x1
	5x1	3x1
7 u	5 u	3 u

	Tarts	Scones	Muffins
Number	7 u	5 u	3 u
Value	1	4	3
Total value	7 u	20 u	9 u

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

Amount that the cafe collected more from the sales of the muffins than the tarts
= 9 u - 7 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of tarts that the cafe sold
= 7 u
= 7 x 8
= 56

(b)
Amount that the cafe collected from the sales of the pastries
= 7 u + 20 u + 9 u
= 36 u
= 36 x 8
= $288

Answer(s): (a) 56; (b) $288