Questions: c=120+60n c=90n

c=120+60n c=90n
Transcript text: c=120+60 n c=90 n
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Solution

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Solution Steps

Step 1: Set Up the Equations

We start with the two equations given in the problem: \[ c = 120 + 60n \] \[ c = 90n \]

Step 2: Substitute and Rearrange

We can substitute the expression for \( c \) from the second equation into the first equation: \[ 90n = 120 + 60n \]

Step 3: Solve for \( n \)

Rearranging the equation gives us: \[ 90n - 60n = 120 \] \[ 30n = 120 \] Dividing both sides by 30, we find: \[ n = \frac{120}{30} = 4 \]

Step 4: Solve for \( c \)

Now that we have \( n \), we can substitute it back into either equation to find \( c \). Using the second equation: \[ c = 90n = 90 \times 4 = 360 \]

Thus, the solution yields \( n = 4 \) and \( c = 360 \).

Final Answer

\(\boxed{n = 4}\) and \(\boxed{c = 360}\)

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