Question
(1)) Which equation shows how to find \( p \), the price Mrs. Merson paid for the car? \( \frac{5,500}{p}=\frac{55}{100} \) 4). How much did Mrs. Merson pay for the car? \( p=\$ \square \)
Ask by Blake Evans. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Mrs. Merson paid \$10,000 for the car.
Solution
To find the price \( p \) that Mrs. Merson paid for the car, we start with the equation given:
\[
\frac{5,500}{p} = \frac{55}{100}
\]
### Step 1: Solve for \( p \)
To solve for \( p \), we can cross-multiply:
\[
5,500 \cdot 100 = 55 \cdot p
\]
This simplifies to:
\[
550,000 = 55p
\]
### Step 2: Isolate \( p \)
Next, we isolate \( p \) by dividing both sides by 55:
\[
p = \frac{550,000}{55}
\]
### Step 3: Calculate \( p \)
Now, we will perform the division to find the value of \( p \):
\[
p = \frac{550,000}{55}
\]
Let's calculate this value.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{550000}{55}\)
- step1: Reduce the numbers:
\(\frac{10000}{1}\)
- step2: Calculate:
\(10000\)
After performing the calculation, we find:
\[
p = 10,000
\]
### Final Answer
Mrs. Merson paid for the car:
\[
p = \$10,000
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find \( p \), we can rearrange the equation \( \frac{5,500}{p}=\frac{55}{100} \). By cross-multiplying, we have \( 5,500 \times 100 = 55p \), which simplifies to \( 550,000 = 55p \). Dividing both sides by 55 gives \( p = \frac{550,000}{55} \). Now, let’s calculate it! When you do the math, you'll find that Mrs. Merson paid \( p = \$10,000 \) for the car. Now that’s a smooth ride!
