Question

You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? Write an equation.

Answer 1

The amount in checking will always be twice in any week.

Explanation:

Let's say,
`w` represents the week,
`s` represents the saving account and
`c` represents the checking account.

Balance in saving account in any week
`=s=5w+25`

Balance in checking account in any week
`=c=10w+50`

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find
`w` for
`2s = c`.

Putting the values, we have:

`2(5w+25)=10w+50`

`\Rightarrow \mathrm{True\:for\:all}\:w`

Which means in each week the amount in checking is twice the amount in savings.

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