Pregunta
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3) Paulatwats withdraws 20 dollars more than she needs from the bank. a) Write an expression for the amount of money Paula withdraws if she needs \( d \) dollars. b) Find the amount of money Paula withdraws if she needs 20,60 , and 75 dollars.

Ask by Curry Black. in the United States
Jan 24,2025

Solución de tutoría real

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**a) Expression for the amount Paula withdraws:** \[ d + 20 \] **b) Amounts withdrawn:** - \$20 needed → \$40 withdrawn - \$60 needed → \$80 withdrawn - \$75 needed → \$95 withdrawn

Solución

Sure, let's break down the problem step by step. ### **3) Paula withdraws \$20 more than she needs from the bank.** #### **a) Write an expression for the amount of money Paula withdraws if she needs \( d \) dollars.** **Solution:** Let: - \( d \) = the amount of money Paula needs. Since Paula withdraws \$20 more than she needs, the total amount she withdraws can be expressed as: \[ \text{Amount Withdrawn} = d + 20 \] **Expression:** \[ \boxed{d + 20} \] #### **b) Find the amount of money Paula withdraws if she needs \$20, \$60, and \$75.** **Solution:** Using the expression from part **a**, substitute the given values of \( d \) into the expression. 1. **If Paula needs \$20:** \[ \text{Amount Withdrawn} = 20 + 20 = 40 \] \[ \boxed{\$40} \] 2. **If Paula needs \$60:** \[ \text{Amount Withdrawn} = 60 + 20 = 80 \] \[ \boxed{\$80} \] 3. **If Paula needs \$75:** \[ \text{Amount Withdrawn} = 75 + 20 = 95 \] \[ \boxed{\$95} \] ### **Summary:** - **Expression:** \( d + 20 \) - **Withdrawn Amounts:** - Needs \$20 → Withdraws \$40 - Needs \$60 → Withdraws \$80 - Needs \$75 → Withdraws \$95

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The Deep Dive

If Paula needs \( d \) dollars, then the expression for the amount of money she withdraws can be represented as \( d + 20 \). This means she’s adding a little extra cushion for herself, just in case life throws her a curveball! Now, let’s plug in the values. If Paula needs $20, she withdraws \( 20 + 20 = 40 \) dollars. If she needs $60, she withdraws \( 60 + 20 = 80 \) dollars. Finally, for $75, she withdraws \( 75 + 20 = 95 \) dollars. So, Paula always has a little extra cash ready for unexpected expenses!

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