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

Pastry Prices
Sandwich	$1
Tart	$4
Muffin	$3

The ratio of the number of sandwiches sold to the number of tarts sold was 8 : 5. The ratio of the number of muffins sold to the number of tarts sold was 6 : 5. The pastry shop collected $297 more on the sales of muffins 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	Tarts	Muffins
8x6	5x6
	6x5	5x5
48 u	30 u	25 u

	Sandwiches	Tarts	Muffins
Number	48 u	30 u	25 u
Value	1	4	3
Total value	48 u	120 u	75 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 5 and 6 is 30.

Amount that the pastry shop collected more from the sales of the muffins than the sandwiches
= 75 u - 48 u
= 27 u

27 u = 297

1 u = 297 ÷ 27 = 11

Number of sandwiches that the cafe sold
= 48 u
= 48 x 11
= 528

(b)
Amount that the pastry shop collected from the sales of the pastries
= 48 u + 120 u + 75 u
= 243 u
= 243 x 11
= $2673

Answer(s): (a) 528; (b) $2673