High School

Judy has [tex]$186[/tex] in her savings account. Every month she withdraws [tex]$13[/tex]. Which number pattern shows how much is left in her account after each withdrawal?

A. 186, 173, 160, 147, 134, 121

B. 186, 173, 160, 147, 134, 121

C. 186, 171, 159, 141, 138, 125

D. 186, 176, 166, 156, 146, 136

Answer :

To determine the pattern of how much money Judy has left in her savings account after each monthly withdrawal, let's break down the problem step-by-step:

1. Initial Amount: Judy starts with [tex]$186 in her savings account.

2. Monthly Withdrawal: Each month, Judy withdraws $[/tex]13.

3. Calculating the Amount Left After Each Withdrawal:
- Month 1: Judy has [tex]$186 initially. After withdrawing $[/tex]13, the amount left is:
[tex]\[
186 - 13 = 173
\][/tex]
- Month 2: Starting with [tex]$173. After another $[/tex]13 withdrawal, the amount left is:
[tex]\[
173 - 13 = 160
\][/tex]
- Month 3: Starting with [tex]$160. After another $[/tex]13 withdrawal, the amount left is:
[tex]\[
160 - 13 = 147
\][/tex]
- Month 4: Starting with [tex]$147. After another $[/tex]13 withdrawal, the amount left is:
[tex]\[
147 - 13 = 134
\][/tex]
- Month 5: Starting with [tex]$134. After another $[/tex]13 withdrawal, the amount left is:
[tex]\[
134 - 13 = 121
\][/tex]

4. Resulting Number Pattern: After calculating each month's remaining balance, the pattern of balances is:
186, 173, 160, 147, 134, 121

Thus, the correct answer is B. 186, 173, 160, 147, 134, 121.

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