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

Pastry Prices
Muffin	$1
Croissant	$3
Sandwich	$4

The ratio of the number of muffins sold to the number of croissants sold was 7 : 4. The ratio of the number of sandwiches sold to the number of croissants sold was 5 : 4. The stall collected $58 more on the sales of sandwiches 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	Croissants	Sandwiches
7x5	4x5
	5x4	4x4
35 u	20 u	16 u

	Muffins	Croissants	Sandwiches
Number	35 u	20 u	16 u
Value	1	3	4
Total value	35 u	60 u	64 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 4 and 5 is 20.

Amount that the stall collected more from the sales of the sandwiches than the muffins
= 64 u - 35 u
= 29 u

29 u = 58

1 u = 58 ÷ 29 = 2

Number of muffins that the cafe sold
= 35 u
= 35 x 2
= 70

(b)
Amount that the stall collected from the sales of the pastries
= 35 u + 60 u + 64 u
= 159 u
= 159 x 2
= $318

Answer(s): (a) 70; (b) $318