# Mixing

If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the price of one kg of goods of every kind?

a =  13 12 = 27/2 Eur/kg
b =  21 12 = 43/2 Eur/kg

### Step-by-step explanation:

(5a+3b)/(5+3) = 16.50
(3a+5b)/(5+3) = 18.50

(5·a+3·b)/(5+3) = 16.50
(3·a+5·b)/(5+3) = 18.50

0.625a+0.375b = 16.5
0.375a+0.625b = 18.5

Row 2 - 0.375/0.625 · Row 1 → Row 2
0.63a+0.38b = 16.5
0.4b = 8.6

b = 8.6/0.4 = 21.5
a = 16.5-0.375b/0.625 = 16.5-0.375 · 21.5/0.625 = 13.5

a = 27/2 = 13.5
b = 43/2 = 21.5

Our linear equations calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Need help with mixed numbers? Try our mixed-number calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?