The ratio of adults to girls to boys on a class field trip was 1:4:5. If the trip included 6 more boys than girls, how many adults were with the group?
A. 3
B. 4
C. 6
D. 8
E. 12
adults --- x
girls ----- 4x
boys ------5x
(note x: 4x : 5x = 1 : 4 : 5)
"6 more boys than girls" ---> 5x = 4x+6
x = 6
so we had 6 adults, 24 girls, and 30 boys, (satisfying all our conditions stated)
To solve this problem, we can set up a system of equations based on the given information.
Let's assume that the number of adults is represented by "x", the number of girls is represented by "4x", and the number of boys is represented by "5x".
We are told that there were 6 more boys than girls. So, we can write the equation:
5x = 4x + 6
To solve this equation, we can subtract 4x from both sides:
5x - 4x = 4x - 4x + 6
Simplifying, we get:
x = 6
Therefore, the number of adults is 6.
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