at the school outing the ratio of boys to girls is 3:4 if 84 students went on the outing how many were girls

1 answer

To find out how many girls went on the outing, we first need to determine the total parts in the ratio of boys to girls. Given the ratio of boys to girls is \(3:4\), we can add the parts of the ratio together:

\[ 3 + 4 = 7 \text{ parts total} \]

Next, since there are 84 students in total at the outing, we can find the value of one part by dividing the total number of students by the total number of parts:

\[ \text{One part} = \frac{84}{7} = 12 \]

Now we can find the number of girls by determining how many parts correspond to the girls in the ratio. Since girls are represented by 4 parts in the ratio:

\[ \text{Number of girls} = 4 \text{ parts} \times 12 = 48 \]

Thus, the number of girls who went on the outing is 48.