Agroup of 47 children, with some adults, travelled by coach in a trip to a zoo. the total cost of the trip was £591. the entrance fee was £12.35 for each adult and £8.75 for each child. the cost of hiring the coach was £118. how many adults were there in the group?

What we need to do here is create an equation to solve.

the total cost of the trip was £591

this means that the amount for children + the amount for adults = 591

entrance fee was £12.35 for each adult and £8.75 for each child.

this means that our equation now is 12.35A + 8.75C = 591

the cost of hiring the coach was £118

this means we need to add this into our equation:

118 + 12.35A + 8.75C = 591

But we know how many children there are, 47. So we can plug in 47 for C then solve

118 + 12.35A + 8.75C = 591

118 + 12.35A + 8.75(47) = 591

118 + 12.35A + 411.25 = 591

12.35A = 591 - 411.25 - 118

12.35A = 61.75

A = 5

There were 5 adults in the group

10 inches by 4 inches