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

Pastry Prices
Scone	$1
Muffin	$2
Puff	$3

The ratio of the number of scones sold to the number of muffins sold was 4 : 3. The ratio of the number of puffs sold to the number of muffins sold was 5 : 3. The pastry shop collected $42 more on the sales of puffs than the sales of scones.

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

Scones	Muffins	Puffs
4x5	3x5
	5x3	3x3
20 u	15 u	9 u

	Scones	Muffins	Puffs
Number	20 u	15 u	9 u
Value	1	2	3
Total value	20 u	30 u	27 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 3 and 5 is 15.

Amount that the pastry shop collected more from the sales of the puffs than the scones
= 27 u - 20 u
= 7 u

7 u = 42

1 u = 42 ÷ 7 = 6

Number of scones that the cafe sold
= 20 u
= 20 x 6
= 120

(b)
Amount that the pastry shop collected from the sales of the pastries
= 20 u + 30 u + 27 u
= 77 u
= 77 x 6
= $462

Answer(s): (a) 120; (b) $462