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

Pastry Prices
Tart	$1
Muffin	$5
Puff	$2

The ratio of the number of tarts sold to the number of muffins sold was 4 : 3. The ratio of the number of puffs sold to the number of muffins sold was 5 : 4. The cafe collected $40 more on the sales of puffs than the sales of tarts.

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

Tarts	Muffins	Puffs
4x5	3x5
	5x3	4x3
20 u	15 u	12 u

	Tarts	Muffins	Puffs
Number	20 u	15 u	12 u
Value	1	5	2
Total value	20 u	75 u	24 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 3 and 5 is 15.

Amount that the cafe collected more from the sales of the puffs than the tarts
= 24 u - 20 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of tarts that the cafe sold
= 20 u
= 20 x 10
= 200

(b)
Amount that the cafe collected from the sales of the pastries
= 20 u + 75 u + 24 u
= 119 u
= 119 x 10
= $1190

Answer(s): (a) 200; (b) $1190