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

Pastry Prices
Puff	$1
Croissant	$3
Scone	$5

The ratio of the number of puffs sold to the number of croissants sold was 5 : 4. The ratio of the number of scones sold to the number of croissants sold was 7 : 2. The bakery collected $35 more on the sales of scones than the sales of puffs.

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

Puffs	Croissants	Scones
5x7	4x7
	7x4	2x4
35 u	28 u	8 u

	Puffs	Croissants	Scones
Number	35 u	28 u	8 u
Value	1	3	5
Total value	35 u	84 u	40 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 4 and 7 is 28.

Amount that the bakery collected more from the sales of the scones than the puffs
= 40 u - 35 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Number of puffs that the cafe sold
= 35 u
= 35 x 7
= 245

(b)
Amount that the bakery collected from the sales of the pastries
= 35 u + 84 u + 40 u
= 159 u
= 159 x 7
= $1113

Answer(s): (a) 245; (b) $1113