a group 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?
Accepted Solution
A:
What we need to do here is create an equation to solve. the total cost of the trip was £591this means that the amount for children + the amount for adults = 591entrance fee was £12.35 for each adult and £8.75 for each child.this means that our equation now is 12.35A + 8.75C = 591the cost of hiring the coach was £118this means we need to add this into our equation:118 + 12.35A + 8.75C = 591But we know how many children there are, 47. So we can plug in 47 for C then solve118 + 12.35A + 8.75C = 591118 + 12.35A + 8.75(47) = 591118 + 12.35A + 411.25 = 59112.35A = 591 - 411.25 - 11812.35A = 61.75A = 5There were 5 adults in the group