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

Answer:

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

Step-by-step 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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