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

Pastry Prices
Muffin	$1
Scone	$5
Tart	$3

The ratio of the number of muffins sold to the number of scones sold was 2 : 1. The ratio of the number of tarts sold to the number of scones sold was 6 : 5. The cafe collected $18 more on the sales of tarts than the sales of muffins.

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

Muffins	Scones	Tarts
2x6	1x6
	6x1	5x1
12 u	6 u	5 u

	Muffins	Scones	Tarts
Number	12 u	6 u	5 u
Value	1	5	3
Total value	12 u	30 u	15 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 1 and 6 is 6.

Amount that the cafe collected more from the sales of the tarts than the muffins
= 15 u - 12 u
= 3 u

3 u = 18

1 u = 18 ÷ 3 = 6

Number of muffins that the cafe sold
= 12 u
= 12 x 6
= 72

(b)
Amount that the cafe collected from the sales of the pastries
= 12 u + 30 u + 15 u
= 57 u
= 57 x 6
= $342

Answer(s): (a) 72; (b) $342