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

Pastry Prices
Muffin	$2
Croissant	$4
Sandwich	$5

The ratio of the number of muffins sold to the number of croissants sold was 4 : 3. The ratio of the number of sandwiches sold to the number of croissants sold was 6 : 5. The shop collected $54 more on the sales of sandwiches than the sales of muffins.

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

Muffins	Croissants	Sandwiches
4x2	3x2
	6x1	5x1
8 u	6 u	5 u

	Muffins	Croissants	Sandwiches
Number	8 u	6 u	5 u
Value	2	4	5
Total value	16 u	24 u	25 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 3 and 6 is 6.

Amount that the shop collected more from the sales of the sandwiches than the muffins
= 25 u - 16 u
= 9 u

9 u = 54

1 u = 54 ÷ 9 = 6

Number of muffins that the cafe sold
= 8 u
= 8 x 6
= 48

(b)
Amount that the shop collected from the sales of the pastries
= 16 u + 24 u + 25 u
= 65 u
= 65 x 6
= $390

Answer(s): (a) 48; (b) $390