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

Pastry Prices
Muffin	$2
Scone	$5
Puff	$4

The ratio of the number of muffins sold to the number of scones sold was 5 : 4. The ratio of the number of puffs sold to the number of scones sold was 3 : 2. The stall collected $4 more on the sales of puffs than the sales of muffins.

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

Muffins	Scones	Puffs
5x3	4x3
	3x4	2x4
15 u	12 u	8 u

	Muffins	Scones	Puffs
Number	15 u	12 u	8 u
Value	2	5	4
Total value	30 u	60 u	32 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 4 and 3 is 12.

Amount that the stall collected more from the sales of the puffs than the muffins
= 32 u - 30 u
= 2 u

2 u = 4

1 u = 4 ÷ 2 = 2

Number of muffins that the cafe sold
= 15 u
= 15 x 2
= 30

(b)
Amount that the stall collected from the sales of the pastries
= 30 u + 60 u + 32 u
= 122 u
= 122 x 2
= $244

Answer(s): (a) 30; (b) $244