Question

A sum of $ 2700 is shared among Eric, Jo and Richard. Jo's share is two times that of Richard's share. Eric's share is three times that of Jo's share. Find Eric's share.

Answer 1

Eric's share is $1,800.

Explanation:

You can write the following equations from the information given:

x+y+z=2,700 (1)

y=2z (2)

x=3y (3), where:

x=Eric's share

y= Jo's share

z=Richard's share

Now, you can replace (2) in (1) and (3) to have two equations:

x+2z+z=2,700

x+3z=2,700

x=3(2z)

x=6z

The two equations are:

x=6z (4)

x+3z=2,700 (5)

Then, you can replace (4) in (5) and solve for z:

6z+3z=2,700

9z=2,700

z=2,700/9

z=300

After this, you can replace the value of z in (4) to find x:

x=6*300

x=1800

Finally, you can replace the value of z in (2) to find the value of y:

y=2*300

y=600

According to this, the answer is that Eric's share is $1,800.