SOLUTION: I need to write an equation and solve for the following: Together my sister and I have $1000. If 5% of my money is $6 more than 6% of my sister's money, how many dollars does m

Question 611029: I need to write an equation and solve for the following: Together my sister and I have $1000. If 5% of my money is $6 more than 6% of my sister's money, how many dollars does my sister have?
Thanks,
David R.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!

Let
You have = $x

5% of x =

Your sister has = $y

6% of y =

Together you have

..............(1)

5% of your money is $6 more than 6% of your sister's money

Multiply by 100 both sides of above equation

..............(2)
Put the value of x from (1) to (2)

Divide by 11 both sides

Put the value of y in (1)

You have $600
Your sister has $400

Check
=====
5% of your money = (600)(5%) = 600(5/100)=(6)(5)=30
6% of your sister money = (400)(6%) = (400)(6/100)=(4)(6)=24 and 6 more = 24+6 = 30

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