Question

The ratio of the number of adults to the number of children on a certain bus tour was 4 to 22. if the total number of passengers on the bus tour was 91, how many adults were on the tour?

Answer 1

Adults = a
children = c
total passengers = t

ratio :
4c = 22 a
c = (22 a) / 4

a + c = t
a + c = 91
a + (22 a) / 4 = 91

for all of the elements, we multiply by 4, so it's much easier formula.

4a + 22a = (91 * 4)
26a = 364

a = 364 / 26 = 14

c = (22 a) / 4
c = (14 * 22) / 4 = 77