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

Pastry Prices
Muffin	$1
Puff	$3
Sandwich	$4

The ratio of the number of muffins sold to the number of puffs sold was 7 : 6. The ratio of the number of sandwiches sold to the number of puffs sold was 5 : 4. The bakery collected $305 more on the sales of sandwiches than the sales of muffins.

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

Muffins	Puffs	Sandwiches
7x5	6x5
	5x6	4x6
35 u	30 u	24 u

	Muffins	Puffs	Sandwiches
Number	35 u	30 u	24 u
Value	1	3	4
Total value	35 u	90 u	96 u

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

Amount that the bakery collected more from the sales of the sandwiches than the muffins
= 96 u - 35 u
= 61 u

61 u = 305

1 u = 305 ÷ 61 = 5

Number of muffins that the cafe sold
= 35 u
= 35 x 5
= 175

(b)
Amount that the bakery collected from the sales of the pastries
= 35 u + 90 u + 96 u
= 221 u
= 221 x 5
= $1105

Answer(s): (a) 175; (b) $1105