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

Pastry Prices
Puff	$1
Croissant	$5
Sandwich	$4

The ratio of the number of puffs sold to the number of croissants sold was 7 : 5. The ratio of the number of sandwiches sold to the number of croissants sold was 7 : 6. The confectionary collected $781 more on the sales of sandwiches than the sales of puffs.

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

Puffs	Croissants	Sandwiches
7x7	5x7
	7x5	6x5
49 u	35 u	30 u

	Puffs	Croissants	Sandwiches
Number	49 u	35 u	30 u
Value	1	5	4
Total value	49 u	175 u	120 u

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

Amount that the confectionary collected more from the sales of the sandwiches than the puffs
= 120 u - 49 u
= 71 u

71 u = 781

1 u = 781 ÷ 71 = 11

Number of puffs that the cafe sold
= 49 u
= 49 x 11
= 539

(b)
Amount that the confectionary collected from the sales of the pastries
= 49 u + 175 u + 120 u
= 344 u
= 344 x 11
= $3784

Answer(s): (a) 539; (b) $3784