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

Pastry Prices
Puff	$1
Muffin	$2
Tart	$5

The ratio of the number of puffs sold to the number of muffins sold was 5 : 4. The ratio of the number of tarts sold to the number of muffins sold was 7 : 6. The confectionary collected $765 more on the sales of tarts 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	Muffins	Tarts
5x7	4x7
	7x4	6x4
35 u	28 u	24 u

	Puffs	Muffins	Tarts
Number	35 u	28 u	24 u
Value	1	2	5
Total value	35 u	56 u	120 u

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

Amount that the confectionary collected more from the sales of the tarts than the puffs
= 120 u - 35 u
= 85 u

85 u = 765

1 u = 765 ÷ 85 = 9

Number of puffs that the cafe sold
= 35 u
= 35 x 9
= 315

(b)
Amount that the confectionary collected from the sales of the pastries
= 35 u + 56 u + 120 u
= 211 u
= 211 x 9
= $1899

Answer(s): (a) 315; (b) $1899