Question

2 cups is to 10 cans as 14 cups is to
cans.

Answer 1

To solve the problem, we can set up a proportion based on the relationship given:

\[
\frac{2 \text{ cups}}{10 \text{ cans}} = \frac{14 \text{ cups}}{x \text{ cans}}
\]

Here, \( x \) represents the number of cans we need to find.

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

\[
2 \cdot x = 14 \cdot 10
\]

This simplifies to:

\[
2x = 140
\]

Now, divide both sides by 2:

\[
x = \frac{140}{2} = 70
\]

Thus, 14 cups is to 70 cans. The answer is:

\[
\boxed{70}
\]