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

Pastry Prices
Scone	$2
Sandwich	$3
Muffin	$5

The ratio of the number of scones sold to the number of sandwiches sold was 4 : 3. The ratio of the number of muffins sold to the number of sandwiches sold was 8 : 7. The bakery collected $82 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	Sandwiches	Muffins
4x8	3x8
	8x3	7x3
32 u	24 u	21 u

	Scones	Sandwiches	Muffins
Number	32 u	24 u	21 u
Value	2	3	5
Total value	64 u	72 u	105 u

(a)
The number of sandwiches sold is repeated.  Make the number of sandwiches the same.  LCM of 3 and 8 is 24.

Amount that the bakery collected more from the sales of the muffins than the scones
= 105 u - 64 u
= 41 u

41 u = 82

1 u = 82 ÷ 41 = 2

Number of scones that the cafe sold
= 32 u
= 32 x 2
= 64

(b)
Amount that the bakery collected from the sales of the pastries
= 64 u + 72 u + 105 u
= 241 u
= 241 x 2
= $482

Answer(s): (a) 64; (b) $482