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A candy merchant wants to mix peanuts selling at $2.20 per pound with cashews selling at $5.40 per pound to form 120 lbs of a mixed-nut blend that will sell for $3 per pound. What amount of each type of nut should be used?

Question

Please help me! Will fan and medal!
A candy merchant wants to mix peanuts selling at $2.20 per pound with cashews selling at $5.40 per pound to form 120 lbs of a mixed-nut blend that will sell for $3 per pound. What amount of each type of nut should be used?

xariazs · Answer

So if we start by naming our variables we get that x= peanuts and y=cashews
x+y=120
2.20x+5.40y=120(3) --> 2.20x+5.40y=360

From here on you can do some substitution or elimination.

xariazs · Answer

The equations correspond respectively to the pounds and the price, so if you notice that first equation deals with the pounds, while the second equation deals with the money