# Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture is to sell for $5 per pound, how many pounds of each chocolate should be used?

##### 2 Answers

$8 chocolate = 8

$3 chocolate = 12

#### Explanation:

So we need to set up an equation for the information we have.

I'll be using simultaneous equations.

$8 chocolate = x

and

$3 chocolate = y

So, Equation 1 :

And equation 2:

(

Now we need to take equation 1 and make x the subject

Now we need to sub that into equation 2 to get

Simplify to get

Now we sub that into equation 1 with x as the subject

Hope this helped!

#### Explanation:

Set up a system of equations.

Let the number of

the number of

There will be

The value of the

The value of the

The total value of the chocs will be

Now you can solve the two equations:

Check: