Posted by **Rebekah** on Monday, November 16, 2009 at 6:59pm.

A grocer mixes together some cashews costing 8$ per kilogram with some nuts costing 10$ per kilogram. The grocer sold 12 kg of the mixture for 8.50$ per kilogram. How many kilograms of cashews were in the mixture?

I have to find 2 equations then find the answer most likely using substitution.

thanks:)

- Algebra -
**Rebekah**, Monday, November 16, 2009 at 7:32pm
help please:)!!

- Algebra -
**Rebekah**, Monday, November 16, 2009 at 7:33pm
NeverMind!!

- Algebra -
**Rae**, Tuesday, February 16, 2016 at 8:14pm
In case anyone's wondering:

c= kg of cashews

n= kg of nuts

12 kg of $8.5 is $102

We can say that:

8c + 10n = 102

(first equation)

And also:

c + n = 12

(second equation)

We isolate a variable in the second equation:

n = 12 - c

Plug that into the first equation:

8c + 10(12 - c) = 102

Simplify:

8c + 120 - 10c = 102

Simplify:

-2c = -18

2c = 18

c = 9

Now that we know the value of c, we can plug that into the second equation to find the value of n.

9 + n = 12

n = 12 - 9

n = 3

FINAL ANSWER:

3 kg of nuts, 9 kg of cashews

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