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

Pastry Prices
Scone	$1
Croissant	$4
Muffin	$5

The ratio of the number of scones sold to the number of croissants sold was 7 : 3. The ratio of the number of muffins sold to the number of croissants sold was 7 : 5. The cafe collected $104 more on the sales of muffins than the sales of scones.

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

Scones	Croissants	Muffins
7x7	3x7
	7x3	5x3
49 u	21 u	15 u

	Scones	Croissants	Muffins
Number	49 u	21 u	15 u
Value	1	4	5
Total value	49 u	84 u	75 u

(a)
The number of croissants sold is repeated.  Make the number of croissants the same.  LCM of 3 and 7 is 21.

Amount that the cafe collected more from the sales of the muffins than the scones
= 75 u - 49 u
= 26 u

26 u = 104

1 u = 104 ÷ 26 = 4

Number of scones that the cafe sold
= 49 u
= 49 x 4
= 196

(b)
Amount that the cafe collected from the sales of the pastries
= 49 u + 84 u + 75 u
= 208 u
= 208 x 4
= $832

Answer(s): (a) 196; (b) $832