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

Pastry Prices
Scone	$1
Muffin	$3
Tart	$5

The ratio of the number of scones sold to the number of muffins sold was 7 : 4. The ratio of the number of tarts sold to the number of muffins sold was 2 : 1. The stall collected $30 more on the sales of tarts than the sales of scones.

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

Scones	Muffins	Tarts
7x1	4x1
	2x2	1x2
7 u	4 u	2 u

	Scones	Muffins	Tarts
Number	7 u	4 u	2 u
Value	1	3	5
Total value	7 u	12 u	10 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 4 and 2 is 4.

Amount that the stall collected more from the sales of the tarts than the scones
= 10 u - 7 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Number of scones that the cafe sold
= 7 u
= 7 x 10
= 70

(b)
Amount that the stall collected from the sales of the pastries
= 7 u + 12 u + 10 u
= 29 u
= 29 x 10
= $290

Answer(s): (a) 70; (b) $290