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

Pastry Prices
Scone	$2
Puff	$3
Sandwich	$5

The ratio of the number of scones sold to the number of puffs sold was 6 : 5. The ratio of the number of sandwiches sold to the number of puffs sold was 4 : 3. The bakery collected $324 more on the sales of sandwiches 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	Puffs	Sandwiches
6x4	5x4
	4x5	3x5
24 u	20 u	15 u

	Scones	Puffs	Sandwiches
Number	24 u	20 u	15 u
Value	2	3	5
Total value	48 u	60 u	75 u

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

Amount that the bakery collected more from the sales of the sandwiches than the scones
= 75 u - 48 u
= 27 u

27 u = 324

1 u = 324 ÷ 27 = 12

Number of scones that the cafe sold
= 24 u
= 24 x 12
= 288

(b)
Amount that the bakery collected from the sales of the pastries
= 48 u + 60 u + 75 u
= 183 u
= 183 x 12
= $2196

Answer(s): (a) 288; (b) $2196