Peter, Ned and Morris have some apples. Ned has 2 1/3 as many apples as Peter. Morris has half as many apples as Ned. In total they have 999 apples. How many does each person have?

Guest Dec 19, 2021

#1**+2 **

First, we __set each person to a variable__.

If Peter=x, or (6/6)x

Ned=2 1/3 x, or (7/3)x, or (14/6)x,

Morris= (7/6)x

Since the total number of apples was 999, (6/6)x+(14/6)x+(7/6)x=999

Adding the x coefficients together, we get (27/6)x=999.

To get rid of the fraction, multiply both sides by (6/27).

This results in x=999*(6/27)

999*(6/27)=222

If we plug this in for each person, we get

Peter=222,

Ned=518,

Morris=259

**It is also helpful to make a graph (as shown below) for convenience:**

name | # of apples | value of apples | total # of apples |

Ned | |||

Morris | |||

Peter |

(obviously the 3rd column would not be needed for this problem)

Guinevere Dec 19, 2021