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?% "of" 590-11.8=236...

`?% "of" 590-11.8=236`

A

48

B

45

C

42

D

41

Text Solution

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The correct Answer is:
To solve the equation `?% of 590 - 11.8 = 236`, we can follow these steps: ### Step 1: Convert the percentage to a fraction Let the question mark be represented by \( x \). The expression "x% of 590" can be written as: \[ \frac{x}{100} \times 590 \] ### Step 2: Set up the equation We can now rewrite the original equation: \[ \frac{x}{100} \times 590 - 11.8 = 236 \] ### Step 3: Isolate the term with x To isolate the term with \( x \), we first add 11.8 to both sides of the equation: \[ \frac{x}{100} \times 590 = 236 + 11.8 \] ### Step 4: Calculate the right side Now, we calculate the right side: \[ 236 + 11.8 = 247.8 \] So, we have: \[ \frac{x}{100} \times 590 = 247.8 \] ### Step 5: Eliminate the fraction Next, we can eliminate the fraction by multiplying both sides by 100: \[ x \times 590 = 247.8 \times 100 \] ### Step 6: Calculate the right side Calculating the right side gives: \[ 247.8 \times 100 = 24780 \] So now we have: \[ 590x = 24780 \] ### Step 7: Solve for x To find \( x \), we divide both sides by 590: \[ x = \frac{24780}{590} \] ### Step 8: Perform the division Now, we perform the division: \[ x = 42 \] ### Conclusion Thus, the value of the question mark is: \[ \boxed{42} \] ---

To solve the equation `?% of 590 - 11.8 = 236`, we can follow these steps: ### Step 1: Convert the percentage to a fraction Let the question mark be represented by \( x \). The expression "x% of 590" can be written as: \[ \frac{x}{100} \times 590 \] ...
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