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

Pastry Prices
Scone	$1
Tart	$3
Puff	$5

The ratio of the number of scones sold to the number of tarts sold was 4 : 3. The ratio of the number of puffs sold to the number of tarts sold was 8 : 7. The stall collected $803 more on the sales of puffs than the sales of scones.

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

Scones	Tarts	Puffs
4x8	3x8
	8x3	7x3
32 u	24 u	21 u

	Scones	Tarts	Puffs
Number	32 u	24 u	21 u
Value	1	3	5
Total value	32 u	72 u	105 u

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

Amount that the stall collected more from the sales of the puffs than the scones
= 105 u - 32 u
= 73 u

73 u = 803

1 u = 803 ÷ 73 = 11

Number of scones that the cafe sold
= 32 u
= 32 x 11
= 352

(b)
Amount that the stall collected from the sales of the pastries
= 32 u + 72 u + 105 u
= 209 u
= 209 x 11
= $2299

Answer(s): (a) 352; (b) $2299