Question

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Solve Problems with Percent - Quiz-Level F
Alex has 70% of her weekly paycheck automatically deposited into a savings account. This week,
$35 is deposited. Alex wants to know the total amount of her paycheck this week.
Which equation shows how to find p, the total amount of Alex's paycheck?
70
35 Р 35 Р 70
35
70
Р
100 70
100 35
100
P 100

Answer 1

To find the total amount of Alex's paycheck after knowing that $35 is 70% of it, use the equation \( p = \frac{35}{0.70} \), which results in Alex's paycheck being $50.

Step-by-step explanation:

The student's question relates to finding the total amount of a paycheck when given the percentage that is automatically deposited into a savings account. We know that 70% of Alex's paycheck is equivalent to $35, which is deposited into her savings account. To find the full amount of the paycheck, denoted as p, we need to use the equation for a percentage:

p = \( \frac{35}{0.70} \)

You divide the amount deposited by the percentage in decimal form. Therefore, the equation that shows how to find the total amount of Alex's paycheck is 35 divided by 0.70. We convert 70% to its decimal form by dividing by 100, which gives us 0.70.

The complete equation is as follows:

p = \( \frac{35}{0.70} \) = $50

So, Alex's total paycheck this week is $50.