Question

35/p = 70/100
what is the total amount of alex's paycheck?
p = $?

Answer 1

5,500/p = 55/100
p = $?

Answer 2

To find the total amount of Alex's paycheck, we need to solve for \( p \) in the equation:

\[ \frac{35}{p} = \frac{70}{100} \]

First, simplify the fraction on the right side:

\[ \frac{70}{100} = \frac{7}{10} \]

So the equation becomes:

\[ \frac{35}{p} = \frac{7}{10} \]

Now, to solve for \( p \), we can cross-multiply:

\[ 35 \times 10 = 7 \times p \]

This simplifies to:

\[ 350 = 7p \]

Next, divide both sides by 7:

\[ p = \frac{350}{7} \]

\[ p = 50 \]

So, the total amount of Alex's paycheck is \( \boxed{50} \).

Answer 3

To find the value of \( p \) in the equation:

\[ \frac{5,500}{p} = \frac{55}{100} \]

First, simplify the fraction on the right side:

\[ \frac{55}{100} = \frac{11}{20} \]

So the equation becomes:

\[ \frac{5,500}{p} = \frac{11}{20} \]

Now, to solve for \( p \), we can cross-multiply:

\[ 5,500 \times 20 = 11 \times p \]

This simplifies to:

\[ 110,000 = 11p \]

Next, divide both sides by 11:

\[ p = \frac{110,000}{11} \]

\[ p = 10,000 \]

So, the value of \( p \) is \( \boxed{10,000} \).