# can't figure out how to do mixture weighted averages

• Oct 21st 2010, 03:07 PM
chipandtoast
can't figure out how to do mixture weighted averages
Hi thanks for any help in advance. I can't figure out how to do this problem.
A grocer mixed nuts worth \$2.40 a pound with nuts \$1.50 a pound. How many pounds of each did he use if there was a mixture of 30 pounds averaging \$2.25 a pound?
• Oct 21st 2010, 03:12 PM
skeeter
Quote:

Originally Posted by chipandtoast
Hi thanks for any help in advance. I can't figure out how to do this problem.
A grocer mixed nuts worth \$2.40 a pound with nuts \$1.50 a pound. How many pounds of each did he use if there was a mixture of 30 pounds averaging \$2.25 a pound?

let x = pounds of the \$2.40 nuts

y = pounds of the \$1.50 nuts

x + y = 30

2.40x + 1.50y = 30(2.25)

solve the system
• Oct 21st 2010, 03:26 PM
chipandtoast
Quote:

Originally Posted by skeeter
let x = pounds of the \$2.40 nuts

y = pounds of the \$1.50 nuts

x + y = 30

2.40x + 1.50y = 30(2.25)

solve the system

So then what do I do? I had a doctors appointment so I couldn't go to algebra today and this is really confusing to me.
• Oct 21st 2010, 03:40 PM
skeeter
Quote:

Originally Posted by chipandtoast
So then what do I do? I had a doctors appointment so I couldn't go to algebra today and this is really confusing to me.

go to the links and learn how ...

YouTube - Solving Linear Systems of Equations Using Substitution

SYSTEMS OF EQUATIONS in TWO VARIABLES