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

Pastry Prices
Tart	$2
Scone	$1
Croissant	$3

The ratio of the number of tarts sold to the number of scones sold was 6 : 5. The ratio of the number of croissants sold to the number of scones sold was 7 : 6. The confectionary collected $66 more on the sales of croissants than the sales of tarts.

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

Tarts	Scones	Croissants
6x7	5x7
	7x5	6x5
42 u	35 u	30 u

	Tarts	Scones	Croissants
Number	42 u	35 u	30 u
Value	2	1	3
Total value	84 u	35 u	90 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 5 and 7 is 35.

Amount that the confectionary collected more from the sales of the croissants than the tarts
= 90 u - 84 u
= 6 u

6 u = 66

1 u = 66 ÷ 6 = 11

Number of tarts that the cafe sold
= 42 u
= 42 x 11
= 462

(b)
Amount that the confectionary collected from the sales of the pastries
= 84 u + 35 u + 90 u
= 209 u
= 209 x 11
= $2299

Answer(s): (a) 462; (b) $2299