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

Pastry Prices
Croissant	$1
Tart	$2
Scone	$5

The ratio of the number of croissants sold to the number of tarts sold was 8 : 3. The ratio of the number of scones sold to the number of tarts sold was 7 : 5. The confectionary collected $209 more on the sales of scones than the sales of croissants.

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

Croissants	Tarts	Scones
8x7	3x7
	7x3	5x3
56 u	21 u	15 u

	Croissants	Tarts	Scones
Number	56 u	21 u	15 u
Value	1	2	5
Total value	56 u	42 u	75 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 3 and 7 is 21.

Amount that the confectionary collected more from the sales of the scones than the croissants
= 75 u - 56 u
= 19 u

19 u = 209

1 u = 209 ÷ 19 = 11

Number of croissants that the cafe sold
= 56 u
= 56 x 11
= 616

(b)
Amount that the confectionary collected from the sales of the pastries
= 56 u + 42 u + 75 u
= 173 u
= 173 x 11
= $1903

Answer(s): (a) 616; (b) $1903