A scale on a map shows that 2 inches = 25 miles. Part A: How many inches on the map represents 60 miles? Part B: How many miles is represented by 1/4 inch on the map?

Question

jdoe0001 · Answer

$\large {
\begin{array}{ccllll}
inches&miles
\\hline\
2&25\
x&60
\end{array}\implies \cfrac{2}{x}=\cfrac{25}{60}\impliedby \textit{solve for "x"}
\ \quad \
\begin{array}{ccllll}
inches&miles
\\hline\
2&25\
\frac{1}{4}&x
\end{array}\implies \cfrac{2}{\frac{1}{4}}=\cfrac{25}{x}\impliedby \textit{solve for "x"}
}$

anonymous · Answer

Um what

anonymous · Answer

Do you still need help?

anonymous · Answer

yes

anonymous · Answer

i will medal

anonymous · Answer

okay so we know that 2 inches = 25 miles right

anonymous · Answer

yeah

anonymous · Answer

You're pretty much setting up a proportion. 2 inches / 25 miles = x / 60. This also means that 25 x = 120 through cross multiplication. $$\frac{ 2 }{ 25 } = \frac{x}{60}$$  That's the fraction that jdoe0001 created for you.

anonymous · Answer

i still don't get it i was never good at cross multiplication

anonymous · Answer

The cross multiplication turns into 25x = 120. Solving for x will answer the first part of your question. For your second part, you say 2x = 6.25 (since 25 x 1/4 = 6.25) and solve for x there.

anonymous · Answer

so your saying that 25 times x equals 120

anonymous · Answer

Yes. I am also saying that 2 times x equals 6.25 for your second question.

anonymous · Answer

thx

anonymous · Answer

Sure thing.