Question

last month, harvey had 75 dollars in a checking account. since then, his account balance has decreased by 32%. what is the current balance of harvey’s account?
i want to do these optional steps.
equivalent ratios
32 + blank = blank/75
100 + 1.3333
i want to do these optional steps.
means and extremes
blank blank = blank blank
percent decrease = amount decrease / amount original
32/100 = y/75
enter the current balance of harvey’s account. dollars

Explanation:

Step1: Find the amount decreased

The formula for percentage decrease is $\frac{\text{Amount Decrease}}{\text{Amount Original}}=\frac{\text{Percent Decrease}}{100}$. Here, the original amount is $75$ and the percent decrease is $32\%$. So we set up the proportion $\frac{y}{75}=\frac{32}{100}$, where $y$ is the amount decreased. Cross - multiplying gives $100y = 75\times32$. Then $y=\frac{75\times32}{100}=24$.

Step2: Calculate the current balance

The current balance is the original balance minus the amount decreased. The original balance is $75$ and the amount decreased is $24$. So the current balance is $75 - 24=51$.

Answer:

The current balance of Harvey's account is $51$ dollars.