A sum of S 2,700 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.
Answers
Answered by
5
Answer:
Step-by-step explanation:
Eric's share is $1,800.
Step-by-step 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.
Similar questions