Question

Admission to the zoo is $6 for children and $9 for adults. On a certain day, 1480 people go to the zoo and $10,500 is collected.

How many children and how many adults went to the zoo?

Answer 1

X+Y=1480
6X+9Y=10500

Answer 2

i need how many were chidrin and how many were adults please

Answer 3

SOLVE THE EQN

Answer 4

do you know what the X and Y are @dan815 i need them i not know how to get them

Answer 5

a + c = 1480 ----- adults + children = 1480
9a + 6c = 10,500 --- $9 per adult ticket + $6 per child ticket = 10,500

These are the equations you will need to use. We can solve this by substitution.
a + c = 1480 -- rearrange
a = 1480 - c

now sub 1480 - c in for a in the 2nd equation

9a + 6c = 10500
9(1480 - c) + 6c = 10500 --- distribute through the parenthesis
13320 - 9c + 6c = 10500 --- subtract 13320 from both sides
-9c + 6c = 10500 - 13320 -- combine like terms
-3c = - 2820 --- divide both sides by -3
c = -2820/-3
c = 940

now sub 940 in for c in either equation to find a

a + c = 1480
a + 940 = 1480
a = 1480 - 940
a = 540

check..
9a + 6c = 10500
9(540) + 6(940) = 10500
4860 + 5640 = 10500
10500 = 10500 (correct)

so adults present (a) = 540, and children present (c) = 940

any questions at all ?