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

Pastry Prices
Sandwich	$1
Muffin	$3
Puff	$4

The ratio of the number of sandwiches sold to the number of muffins sold was 5 : 3. The ratio of the number of puffs sold to the number of muffins sold was 8 : 7. The pastry shop collected $528 more on the sales of puffs than the sales of sandwiches.

1. How many sandwiches were sold?
2. How much did the pastry shop collect from the sales of the pastries?

Sandwiches	Muffins	Puffs
5x8	3x8
	8x3	7x3
40 u	24 u	21 u

	Sandwiches	Muffins	Puffs
Number	40 u	24 u	21 u
Value	1	3	4
Total value	40 u	72 u	84 u

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

Amount that the pastry shop collected more from the sales of the puffs than the sandwiches
= 84 u - 40 u
= 44 u

44 u = 528

1 u = 528 ÷ 44 = 12

Number of sandwiches that the cafe sold
= 40 u
= 40 x 12
= 480

(b)
Amount that the pastry shop collected from the sales of the pastries
= 40 u + 72 u + 84 u
= 196 u
= 196 x 12
= $2352

Answer(s): (a) 480; (b) $2352