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

Pastry Prices
Muffin	$2
Puff	$3
Croissant	$4

The ratio of the number of muffins sold to the number of puffs sold was 4 : 3. The ratio of the number of croissants sold to the number of puffs sold was 8 : 7. The shop collected $80 more on the sales of croissants than the sales of muffins.

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

Muffins	Puffs	Croissants
4x8	3x8
	8x3	7x3
32 u	24 u	21 u

	Muffins	Puffs	Croissants
Number	32 u	24 u	21 u
Value	2	3	4
Total value	64 u	72 u	84 u

(a)
The number of puffs sold is repeated.  Make the number of puffs the same.  LCM of 3 and 8 is 24.

Amount that the shop collected more from the sales of the croissants than the muffins
= 84 u - 64 u
= 20 u

20 u = 80

1 u = 80 ÷ 20 = 4

Number of muffins that the cafe sold
= 32 u
= 32 x 4
= 128

(b)
Amount that the shop collected from the sales of the pastries
= 64 u + 72 u + 84 u
= 220 u
= 220 x 4
= $880

Answer(s): (a) 128; (b) $880