(1)) Which equation shows how to find \( p \), the total amount of Alex's paycheck? \( \frac{35}{p}=\frac{70}{100} \) (1)) What is the total amount of Alex's paycheck? \( p=\$ \) ?

Sure, let's address both parts of your question step by step. --- ### **1) Equation to Find \( p \), the Total Amount of Alex's Paycheck** To determine the equation, we need to understand the relationship between the parts and the whole in terms of percentages. - **Given:** Alex received \$35, which is **70%** of his total paycheck (\( p \)). This relationship can be expressed as: \[ \frac{35}{p} = \frac{70}{100} \] or equivalently, \[ 35 = 0.7 \times p \] --- ### **2) Calculating the Total Amount of Alex's Paycheck (\( p \))** Starting from the equation: \[ \frac{35}{p} = \frac{70}{100} \] Let's solve for \( p \): 1. **Cross-Multiply to Eliminate the Fraction:** \[ 35 \times 100 = 70 \times p \] \[ 3500 = 70p \] 2. **Isolate \( p \):** \[ p = \frac{3500}{70} \] \[ p = 50 \] So, \[ p = \$50 \] --- ### **Final Answer** \[ p = \$50 \] --- **Summary:** Alex's total paycheck amount is **\$50**.