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.
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