Answer :
Final answer:
To solve '24% of ____ is 38.4', we set up a percent equation, 24/100 * X = 38.4. By solving for X, we find the unknown total. In this case, X = 160 meaning 24% of 160 is 38.4.
Explanation:
In the given question, '24% of ____ is 38.4.', you're asked to find the whole amount from a given percentage. The 24% represents a part of the unknown whole, which is 38.4 in this case.
To find the full amount (which we will call X), you can set up an equation based on the relationship between percentage, whole, and part. Here, 24% of X is equal to 38.4, which can be represented as: 24/100 * X = 38.4.
To find X, you would divide both sides of the equation by 24/100 (or 0.24), which gives X = 38.4 / 0.24. Solving this gives X equals 160. So, 24% of 160 is 38.4.
To find the missing number, we can set up an equation using proportion. Let's denote the missing number as x. The equation would be: (24/100) * x = 38.4. We can solve this equation by multiplying both sides by 100 and then dividing by 24. So, the missing number is: x = (38.4 * 100) / 24 = 160.
Learn more about Percentages here:
https://brainly.com/question/29306119
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