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b. \( \$ 35 \) is what \% of \( \$ 175 ? \)

Ask by Rowe Lane. in the United States
Feb 04,2025

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Answer

\$35 is 20% of \$175.

Solution

To determine what percentage \$35 is of \$175, you can use the following formula: \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \] **Where:** - **Part** = \$35 - **Whole** = \$175 **Step-by-Step Calculation:** 1. **Divide the Part by the Whole:** \[ \frac{35}{175} = 0.2 \] 2. **Multiply by 100 to convert to a percentage:** \[ 0.2 \times 100 = 20\% \] **Conclusion:** \$35 is **20%** of \$175.

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The Deep Dive

To find out what percentage \( \$ 35 \) is of \( \$ 175 \), you can use the formula: \[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \] In this case, the part is \( 35 \) and the whole is \( 175 \): \[ \text{Percentage} = \left(\frac{35}{175}\right) \times 100 = 20\% \] So, \( \$ 35 \) is \( 20\% \) of \( \$ 175 \)! Now, if you had to express that in everyday terms, think about your shopping. If you spend \( \$ 35 \) from a total wallet of \( \$ 175 \), that's like getting a sweet 20% off your collections – you still have \( \$ 140 \) left for your next shopping spree. Smart shopping, right? When you're working on problems like this, a common mistake is forgetting to multiply by \( 100 \) after dividing. Ensure you've got that last step! Also, it's handy to double-check your calculations to avoid silly errors that can sometimes sneak in. Keeping a calculator nearby can definitely save the day!

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