Question

Two varieties of wheat are mixed in the proportion of
3:4 and the mixture is sold at $28 per kg at a profit
of 40%. If the second variety of wheat costs 3 more
than the first variety of wheat, find the cost price of
the first variety of wheat.
Explain in steps please ​

Answer 1

Answer:

8.5

Cost price of 1 kg wheat = x

x + 0.4x = 28

x = 28/1.4 = $20

Wheat first variety = W1

Wheat second variety = W2

W2 = W1 + 3 (Eq. 1)

W1 + W2 = 20 (Eq. 2)

Plug Eq. 1 in Eq.2:

W1 + W1 + 3 = 20

2W1= 17

W1 = 8.5

Alternately:

Fraction of W1 = 3/7

3/7 of cost price = 3/7 x 20 = 8.57