Question

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?
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

Related Questions

a store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. the manager decides to mi... Cashews sell for $4.00 per pound and peanuts for $1.50 per pound. The peanuts didn't sell well, so i... A nut wholesaler sell two types of mixes of cashews and peanuts. He makes low-grade mix containing 8... you want to sell 1lb jars of mixed peanuts and cashews for $5. you pay $3 per pound for peanuts and...