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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)