Homework Help: Math

Posted by Emily on Tuesday, December 8, 2009 at 5:26pm.

This is the question given:
"Peanuts sell for $5/kg and cashews for $20/kg. Mary wants to sell a mixture of peanuts and cashews for $12/kg. How many kilograms of peanuts and cashews would Mary have to mix in order to make 30kg of the $12/kg mixture?"

This is an algebra question and I need to use "proper format" any suggestions?

Math - drwls, Tuesday, December 8, 2009 at 6:25pm
My suggestion is to solve these two equations in two unknowns:

C + P = 30
5P + 20 C = 12*30 = 360
==========================
Here's how to solve. Multiply first equation by 5.

5P + 5C = 150

Subtract last equation fron second equation.

15C = 210
C = 14 kg
P = 30 - 14 = 16 kg

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