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

Pastry Prices
Scone	$1
Tart	$3
Muffin	$4

The ratio of the number of scones sold to the number of tarts sold was 7 : 3. The ratio of the number of muffins sold to the number of tarts sold was 4 : 3. The bakery collected $80 more on the sales of muffins than the sales of scones.

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

Scones	Tarts	Muffins
7x4	3x4
	4x3	3x3
28 u	12 u	9 u

	Scones	Tarts	Muffins
Number	28 u	12 u	9 u
Value	1	3	4
Total value	28 u	36 u	36 u

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

Amount that the bakery collected more from the sales of the muffins than the scones
= 36 u - 28 u
= 8 u

8 u = 80

1 u = 80 ÷ 8 = 10

Number of scones that the cafe sold
= 28 u
= 28 x 10
= 280

(b)
Amount that the bakery collected from the sales of the pastries
= 28 u + 36 u + 36 u
= 100 u
= 100 x 10
= $1000

Answer(s): (a) 280; (b) $1000