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.
- Algebra - Rebekah, Monday, November 16, 2009 at 7:32pm
- Algebra - Rebekah, Monday, November 16, 2009 at 7:33pm
- 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
c + n = 12
We isolate a variable in the second equation:
n = 12 - c
Plug that into the first equation:
8c + 10(12 - c) = 102
8c + 120 - 10c = 102
-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
3 kg of nuts, 9 kg of cashews
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