Question

A tape diagram. There are 45 children per 100 visitors. There are question mark children per 600 visitors. StartFraction part Over whole EndFraction = StartFraction 45 times 6 Over 100 times 6 EndFraction = StartFraction question mark Over 600 EndFraction
Of the 600 people who visited the Amazing Art Museum on Tuesday, 45% were children.

How many children visited the museum on Tuesday?

To solve the problem, we can write the


as
a
and then create an
.
On Tuesday,
children visited the museum.

Answer 1

To solve the problem of how many children visited the museum, we can follow these steps:

1. **Understand the Proportion**: We know from the problem statement that 45 out of every 100 visitors are children. This can be expressed as:
\[
\frac{45}{100}
\]

2. **Scaling to 600 Visitors**: We want to find out how many children there are if there are 600 visitors. We can set up a proportion:
\[
\frac{45}{100} = \frac{x}{600}
\]
where \(x\) is the number of children.

3. **Cross Multiply**: To solve for \(x\), we can cross multiply:
\[
45 \times 600 = 100 \times x
\]
\[
27000 = 100x
\]

4. **Solve for x**: Now, divide both sides by 100:
\[
x = \frac{27000}{100} = 270
\]

Therefore, 270 children visited the museum on Tuesday.

To summarize:

- **Proportion Setup**:
\[
\frac{45}{100} = \frac{x}{600}
\]
- **Cross Multiplication**:
\[
45 \times 600 = 100x
\]
- **Calculate Children**:
\[
x = 270
\]

Thus, **On Tuesday, 270 children visited the museum.**