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

Pastry Prices
Puff	$1
Tart	$2
Scone	$5

The ratio of the number of puffs sold to the number of tarts sold was 3 : 1. The ratio of the number of scones sold to the number of tarts sold was 8 : 7. The stall collected $110 more on the sales of scones than the sales of puffs.

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

Puffs	Tarts	Scones
3x8	1x8
	8x1	7x1
24 u	8 u	7 u

	Puffs	Tarts	Scones
Number	24 u	8 u	7 u
Value	1	2	5
Total value	24 u	16 u	35 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 1 and 8 is 8.

Amount that the stall collected more from the sales of the scones than the puffs
= 35 u - 24 u
= 11 u

11 u = 110

1 u = 110 ÷ 11 = 10

Number of puffs that the cafe sold
= 24 u
= 24 x 10
= 240

(b)
Amount that the stall collected from the sales of the pastries
= 24 u + 16 u + 35 u
= 75 u
= 75 x 10
= $750

Answer(s): (a) 240; (b) $750