Question

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

Answer 1

Hint – To get this problem solved we need to assume the variables and make equations according to the problem and solve it to get the value of the variable and the right answer.

Complete step-by-step answer:
It is given that the ratio of adults to girls to boys on a class field trip is 1:4:5
Let x be the common variable
Let the number of adults be 1x.
Then the number of girls will be 4x and the number of boys will be 5x.
Since the trip included 6 more boys than girls,
5x−4x=6
x=6
Therefore 6 adults were with the group.
Hence the answer is 6.
So, the correct option is C.

Note – To get such problems right we need to read the problem carefully and proceed according to that taking care of algebra. Then solve so get the values of variables and proceed towards finding the answer. Like here we have assumed variables as the numbers are given in ratio then we have made equations according to the conditions said and then solved it to get the desired results.