Problema Solution
Combining peanuts, pecans, and cashews makes a party mix of nuts. If the amount of peanuts equals the amount of pecans and cashews combined, and if there are three times as many cashews as pecans, how many ounces of each nut is used to make 40oz of party mix?
Answer provided by our tutors
Let
x = oz of peanuts
y = oz of pecans
z = oz of cashews
The amount of peanuts equals the amount of pecans and cashews combined means:
x = y + z
There are 3 times as many cashews as pecans:
z = 3y
The party mix weights 40 oz altogether:
x + y + z = 40
We have the following system of equations:
x = y + z
z = 3y
x + y + z = 40
........
click here to see the system of equations solved for x, y and z
........
x = 20 oz
y = 5 oz
z = 15 oz
20 ounces of peanuts, 5 ounces of pecans and 15 ounces of cashews are used for the party mix.