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

Pastry Prices
Muffin	$1
Scone	$5
Puff	$3

The ratio of the number of muffins sold to the number of scones sold was 4 : 3. The ratio of the number of puffs sold to the number of scones sold was 3 : 2. The pastry shop collected $14 more on the sales of puffs than the sales of muffins.

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

Muffins	Scones	Puffs
4x1	3x1
	3x1	2x1
4 u	3 u	2 u

	Muffins	Scones	Puffs
Number	4 u	3 u	2 u
Value	1	5	3
Total value	4 u	15 u	6 u

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

Amount that the pastry shop collected more from the sales of the puffs than the muffins
= 6 u - 4 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

Number of muffins that the cafe sold
= 4 u
= 4 x 7
= 28

(b)
Amount that the pastry shop collected from the sales of the pastries
= 4 u + 15 u + 6 u
= 25 u
= 25 x 7
= $175

Answer(s): (a) 28; (b) $175