Question

3 out of 7 members of a gym club are female. If there are 280 total members, how many are male? Use a ratio table.

Answer 1

To determine the number of male members in the gym club using a ratio table, we start with the given ratio of females to total members.

The ratio of female members to total members is 3 out of 7. This means that for every 3 females, there are 4 males (since 7 total members - 3 females = 4 males).

We can express this ratio as follows:

- Females : Total Members = 3 : 7
- Males : Total Members = 4 : 7

Next, let's set up a ratio table to find out how many males there are given that there are 280 total members.

| Total Members | Female Members | Male Members |
|---------------|----------------|--------------|
| 7 | 3 | 4 |
| 280 | x | y |


To find the number of female members (x) and male members (y) when the total members is 280, we can set up a proportion using the total number of members.

### Finding Female Members:

Using the ratio of females to total members:

\[
\frac{x}{280} = \frac{3}{7}
\]

Cross-multiplying gives:

\[
7x = 3 \times 280
\]
\[
7x = 840
\]
\[
x = \frac{840}{7} = 120
\]

So, there are 120 female members.

### Finding Male Members:

To find the number of male members, we can use the fact that the total number of members is 280 and subtract the number of female members:

\[
y = 280 - x
\]
\[
y = 280 - 120 = 160
\]

Therefore, there are **160 male members** in the gym club.

### Summary
- Female Members: 120
- Male Members: 160

The ratio table illustrates the relationship, and you can also verify that:

- The ratio of males to females remains consistent with the original 4:3 ratio.
- Total Members: 120 (females) + 160 (males) = 280.