(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? $$ p=\$ $$ ?

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UpStudy AI · Accepted Answer

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,
$$
35 = 0.7 \times p
$$

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### **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,
   $$
   p = \$50
   $$

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### **Final Answer**

$$
p = \$50
$$

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**Summary:** Alex's total paycheck amount is **\$50**.
Alex's total paycheck is \$50.

(1)) Which equation shows how to find , the total amount of Alex’s paycheck?

(1)) What is the total amount of Alex’s paycheck?
?

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(1)) Which equation shows how to find , the total amount of Alex’s paycheck? (1)) What is the total amount of Alex’s paycheck? ?