Question

subtract p from both sides of the equation to rewrite this equation in terms of s.
0.75s+0.5p = 13
s+p = 20
s+p
=
20
−
p
−
p

=

Answer 1

To rewrite the given equations in terms of \( s \), we start with the second equation:

\[ s + p = 20 \]

We can isolate \( s \) by subtracting \( p \) from both sides:

\[ s = 20 - p \]

Now we have expressed \( s \) in terms of \( p \). If you would like to substitute this expression for \( s \) into the first equation, we can do that too. The first equation is:

\[ 0.75s + 0.5p = 13 \]

Substituting \( s = 20 - p \) into this equation:

\[ 0.75(20 - p) + 0.5p = 13 \]

Now, distribute \( 0.75 \):

\[ 15 - 0.75p + 0.5p = 13 \]

Combine like terms:

\[ 15 - 0.25p = 13 \]

Now, isolate \( p \) by subtracting 15 from both sides:

\[ -0.25p = 13 - 15 \]
\[ -0.25p = -2 \]

Now divide by -0.25:

\[ p = \frac{-2}{-0.25} = 8 \]

Then, substitute \( p = 8 \) back into \( s = 20 - p \):

\[ s = 20 - 8 \]
\[ s = 12 \]

Thus, the translated form of your original equations leads us to:

- \( s = 20 - p \)
- When \( p = 8 \), then \( s = 12 \).