Solve for the Whole: Finding Total When 60 Percent Equals 4

Calculate the whole if 60 percent is equal to 4:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 First, find the whole number we need to work with.
00:10 Next, let's convert the percent to a fraction. Here's how: sixty percent becomes sixty over one hundred.
00:18 Notice that this fraction stands for sixty percent.
00:24 Now, multiply the fraction by the whole number. This should give us four, based on what we're told.
00:32 Then, multiply by the reciprocal of the fraction. This helps us find the whole number.
00:43 Remember to simplify or reduce the fraction whenever you can.
01:00 Factor and reduce again, if possible.
01:04 And there you have it, that's our solution!

Step-by-step written solution

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1

Understand the problem

Calculate the whole if 60 percent is equal to 4:

2

Step-by-step solution

To solve this problem, we'll proceed with the following steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula for the percentage calculation.
  • Step 3: Perform the necessary calculations to find the whole number.

Now, let's work through each step:

Step 1: The problem states that 60% of a number is equal to 4. We need to find this number, denoted as the whole.

Step 2: We'll use the percentage formula: whole=part×100percentage \text{whole} = \frac{\text{part} \times 100}{\text{percentage}}

Step 3: Plugging in the values, we have: whole=4×10060 \text{whole} = \frac{4 \times 100}{60} whole=40060 \text{whole} = \frac{400}{60} whole=203 \text{whole} = \frac{20}{3}

Simplifying further, whole6.66 \text{whole} \approx 6.66

Therefore, the solution to the problem is 6.66 6.66 .

3

Final Answer

6.66

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