Question
(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? \( p=\$ \) ?
Ask by Alexander Summers. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Alex's total paycheck is \$50.
Solution
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**.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution The Deep Dive
To find \( p \), you will need to rearrange the equation \( \frac{35}{p}=\frac{70}{100} \). Cross-multiply to get \( 35 \times 100 = 70 \times p \). This simplifies to \( 3500 = 70p \). Now, divide both sides by 70, resulting in \( p = \frac{3500}{70} = 50 \). Thus, Alex's total paycheck is \( \$50 \). Paycheck amounts are often a source of excitement and planning! Keep in mind that understanding how to calculate your paycheck can help when making big decisions, like budgeting for fun activities or saving up for that dream vacation. Knowing your total paycheck empowers you to make smarter financial decisions!
