URGENT PLZ HELP! A storekeeper wishes to sell 100 pounds of mixed nuts for $1.75 a pound. He mixes peanuts worth $1.65 a pound with cashews worth $1.90 a pound. How many pounds of each does he use?

Respuesta :

He uses 50 lbs of each type of nut. the prices are there as irrelevant information, it is not needed. so you can ignore it. since he wishes to sell 100 pounds of nuts and is mixing them you just take 100 pounds of nuts divided by 2 types of nuts and you get 50

First set up jars to organize your work.

In the first jar:

x pounds of cashews sell for $1.90

Second jar:

100-x pounds of peanuts sell for $1.65

All that equals your third jar:

100lbs that sells for $1.75

The equation:

1.90x + 1.65(100-x) = 1.75 × 100

Solution:

1.90x + 165 - 1.65x = 175

1.90x - 1.65x = 175 - 165

0.25x = 10

x = 40 cashews

peanuts = 100 - x meaning peanuts = 100 - 40= 60

There are 60 peanuts and 40 cashews.