For a school project, your group contains 2 boys and 5 girls. Complete the table to show ratios equivalent to 2 : 5.
Group Ratio
Boys
Girls 5 10 15 20
For a school project, your group contains 2 boys and 5 girls. Complete the table to show ratios equivalent to 2 : 5. Group Ratio Boys Girls 5 10 15 20
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To find ratios equivalent to 2 : 5, we can multiply both parts of the ratio by the same number.
Here’s the step-by-step completion of the table:
1. Boys: For the ratio of boys (2 parts):
– When the girls are 5:
– ( text{Boys} = 2 times 1 = 2 )
– When the girls are 10:
– ( text{Boys} = 2 times 2 = 4 )
– When the girls are 15:
– ( text{Boys} = 2 times 3 = 6 )
– When the girls are 20:
– ( text{Boys} = 2 times 4 = 8 )
2. Table completion:
– Girls: 5 → Boys: 2
– Girls: 10 → Boys: 4
– Girls: 15 → Boys: 6
– Girls: 20 → Boys: 8
So the completed ratios are:
| Girls | Boys |
|——-|——|
| 5 | 2 |
| 10 | 4 |
| 15 | 6 |
| 20 | 8 |
This shows that for every multiple of girls, the number of boys increases