Juan bought 4 pounds of chocolate

and 2 pounds of peanuts for $16. At

the same store, Jean bought 2

pounds of chocolate and 3 pounds

of peanuts for $12. What is the price

of one pound of chocolate?

Step-by-step explanation:

This is a system of equations. The 2 equations are:

4c + 2p = 16

2c + 3p = 12

Let's get rid of the p's first. Do this by multiplying the first equation by - 3 and the second equation by 2 to get a new system that looks like this:

-12x - 6p = - 48

4c + 6p = 24

Now add to get

-8c = - 24 and

c = 3

That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:

4 (3) + 2p = 16 and

12 + 2p = 16 and

2p = 4 so

p = 2

The price for peanuts is $2 per pound.