$$ herefore \frac { 1005 } { 3 } \frac { 5 } { p } = 10 . p = \frac { 3 \cdot 5 } { 15 } $$

Question

$$ 	herefore \frac { 1005 } { 3 } \frac { 5 } { p } = 10 . p = \frac { 3 \cdot 5 } { 15 } $$

UpStudy AI · Accepted Answer

Let's break down the given equation step by step.

The equation provided is:

$$
\frac{1005}{3} \cdot \frac{5}{p} = 10
$$

We can start by simplifying the left side of the equation.

1. **Calculate $$ \frac{1005}{3} $$**:
   $$
   \frac{1005}{3} = 335
   $$

2. **Substituting back into the equation**:
   $$
   335 \cdot \frac{5}{p} = 10
   $$

3. **Multiply both sides by $$ p $$** to eliminate the fraction:
   $$
   335 \cdot 5 = 10p
   $$

4. **Calculate $$ 335 \cdot 5 $$**:
   $$
   335 \cdot 5 = 1675
   $$

5. **Now we have**:
   $$
   1675 = 10p
   $$

6. **Divide both sides by 10 to solve for $$ p $$**:
   $$
   p = \frac{1675}{10} = 167.5
   $$

Now, let's also evaluate the second part of your statement:

$$
p = \frac{3 \cdot 5}{15}
$$

1. **Calculate $$ \frac{3 \cdot 5}{15} $$**:
   $$
   \frac{15}{15} = 1
   $$

So, we have two different values for $$ p $$:
- From the first equation, $$ p = 167.5 $$
- From the second equation, $$ p = 1 $$

These two values are not equal, indicating that there may be a misunderstanding or error in the setup of the equations.

If you need further assistance or clarification, please let me know!
$$ p = 167.5 $$

\( \therefore \frac { 1005 } { 3 } \frac { 5 } { p } = 10 . p = \frac { 3 \cdot 5 } { 15 } \)