Question

Koji has \($5502$ in his savings account. This is \)$30$ less than six times the amount in his checking account. How much money does Koji have in his checking account?

Short answer

If Koji has $$5502$in his savings account which is $$30$less than six times the amount in his checking account then the amount in his checking account might be $$922$.

Step-by-step solution

Step 1. Given information

Amount in Koji's savings account is $$5502$.

Koji's savings account amount is $$30$ less than six times the amount in his checking account

Step 2. Solution

Consider amount in koji's checking account is m

Amount in savings account $$5502$is $$30$less than$6$times the amount in checking account

$$\begin{gathered} 5502=6m-30 \\ 5532=6m \\ 922=m \end{gathered}$$

So the amount in koji's checking account is $$922$.

Step 3. Verification

$$5502$is $$30$less than $6$times $$922$

$$\begin{gathered} 5502\stackrel{?}{=}6\left(922\right)-30 \\ 5502\stackrel{?}{=}5532-30 \\ 5502=5502 \end{gathered}$$

The left-hand side is equal to the right-hand side, so our answer is correct.

the amount in koji's checking account is $$922$.