Question

Of the 40 sixth-graders at Kelsey's school, 10 visited the science museum and the rest visited the history museum. What is the ratio of the number of sixth-graders who visited the history museum to the number of sixth-graders who visited the science museum?

Answer 1

To find the number of sixth-graders who visited the history museum, we first need to determine how many did not visit the science museum.

There are a total of 40 sixth-graders at Kelsey's school. It is given that 10 students visited the science museum. Therefore, the number of students who visited the history museum can be calculated as follows:

\[
\text{Number who visited history museum} = \text{Total students} - \text{Number who visited science museum}
\]
\[
\text{Number who visited history museum} = 40 - 10 = 30
\]

Now, we can find the ratio of the number of sixth-graders who visited the history museum to those who visited the science museum.

This is calculated as:

\[
\text{Ratio} = \frac{\text{Number who visited history museum}}{\text{Number who visited science museum}} = \frac{30}{10}
\]

To simplify this ratio, we divide both numbers by 10:

\[
\frac{30}{10} = 3
\]

Thus, the ratio of the number of sixth-graders who visited the history museum to the number of sixth-graders who visited the science museum is

\[
\boxed{3}
\]

This can also be expressed as a ratio of 3:1.