Question

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:)

Answer 1

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