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

Pastry Prices
Croissant	$1
Muffin	$2
Puff	$4

The ratio of the number of croissants sold to the number of muffins sold was 7 : 4. The ratio of the number of puffs sold to the number of muffins sold was 8 : 5. The pastry shop collected $30 more on the sales of puffs than the sales of croissants.

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

Croissants	Muffins	Puffs
7x2	4x2
	8x1	5x1
14 u	8 u	5 u

	Croissants	Muffins	Puffs
Number	14 u	8 u	5 u
Value	1	2	4
Total value	14 u	16 u	20 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 4 and 8 is 8.

Amount that the pastry shop collected more from the sales of the puffs than the croissants
= 20 u - 14 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

Number of croissants that the cafe sold
= 14 u
= 14 x 5
= 70

(b)
Amount that the pastry shop collected from the sales of the pastries
= 14 u + 16 u + 20 u
= 50 u
= 50 x 5
= $250

Answer(s): (a) 70; (b) $250