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

Pastry Prices
Sandwich	$1
Scone	$2
Puff	$5

The ratio of the number of sandwiches sold to the number of scones sold was 7 : 6. The ratio of the number of puffs sold to the number of scones sold was 7 : 5. The bakery collected $606 more on the sales of puffs 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	Scones	Puffs
7x7	6x7
	7x6	5x6
49 u	42 u	30 u

	Sandwiches	Scones	Puffs
Number	49 u	42 u	30 u
Value	1	2	5
Total value	49 u	84 u	150 u

(a)
The number of scones sold is repeated.  Make the number of scones the same.  LCM of 6 and 7 is 42.

Amount that the bakery collected more from the sales of the puffs than the sandwiches
= 150 u - 49 u
= 101 u

101 u = 606

1 u = 606 ÷ 101 = 6

Number of sandwiches that the cafe sold
= 49 u
= 49 x 6
= 294

(b)
Amount that the bakery collected from the sales of the pastries
= 49 u + 84 u + 150 u
= 283 u
= 283 x 6
= $1698

Answer(s): (a) 294; (b) $1698