Question

Flour costs $0.75 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 16 pounds and costs $9.
Next, solve this equation for the value of s.
0.75f+0.5s=9
f=16−s

0.75f+0.5s
=
9
0.75(16−s)+0.5s
=
9

s
=

Answer 1

We can solve the equation step by step.

Given the equations:
1. \( 0.75f + 0.5s = 9 \)
2. \( f = 16 - s \)

We substitute the second equation into the first equation:

\[
0.75(16 - s) + 0.5s = 9
\]

Now, let’s distribute \(0.75\):

\[
0.75 \times 16 - 0.75s + 0.5s = 9
\]

This simplifies to:

\[
12 - 0.75s + 0.5s = 9
\]

Combining like terms (\(-0.75s + 0.5s\)) gives us:

\[
12 - 0.25s = 9
\]

Next, we isolate the variable \(s\). First, subtract 12 from both sides:

\[
-0.25s = 9 - 12
\]
\[
-0.25s = -3
\]

Now, divide both sides by \(-0.25\):

\[
s = \frac{-3}{-0.25}
\]

This simplifies to:

\[
s = 12
\]

Thus, the value of \(s\) is \(12\).