SOLUTION: A group of 18 is being joined by 6 boys and 11 girls making the ratio of boys to girls 2:3. What proportion of the original group was boys?
Algebra ->
Proportions
-> Lessons
-> SOLUTION: A group of 18 is being joined by 6 boys and 11 girls making the ratio of boys to girls 2:3. What proportion of the original group was boys?
Log On
Question 1026911: A group of 18 is being joined by 6 boys and 11 girls making the ratio of boys to girls 2:3. What proportion of the original group was boys? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
18+6+11=35 final group has 35 people.
At a ratio of 2:3, 2 of 5 are boys.
Since there are 7 groups of 5, there are 14 boys.
6 boys were added, so there were 8 boys in the original group.
8 boys of 18 original total leaves 10 girls.
Original ratio (proportion) of boys to girls: 8:18 or 4:9
Original percentage that were boys: 44.45%
.
