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

Pastry Prices
Sandwich	$2
Tart	$4
Scone	$5

The ratio of the number of sandwiches sold to the number of tarts sold was 6 : 5. The ratio of the number of scones sold to the number of tarts sold was 7 : 6. The bakery collected $528 more on the sales of scones than the sales of sandwiches.

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

Sandwiches	Tarts	Scones
6x7	5x7
	7x5	6x5
42 u	35 u	30 u

	Sandwiches	Tarts	Scones
Number	42 u	35 u	30 u
Value	2	4	5
Total value	84 u	140 u	150 u

(a)
The number of tarts sold is repeated.  Make the number of tarts the same.  LCM of 5 and 7 is 35.

Amount that the bakery collected more from the sales of the scones than the sandwiches
= 150 u - 84 u
= 66 u

66 u = 528

1 u = 528 ÷ 66 = 8

Number of sandwiches that the cafe sold
= 42 u
= 42 x 8
= 336

(b)
Amount that the bakery collected from the sales of the pastries
= 84 u + 140 u + 150 u
= 374 u
= 374 x 8
= $2992

Answer(s): (a) 336; (b) $2992