The Jurassic Zoo charges $10 for each adult admission and $3 for each child. The total bill for the 145 people from a school trip was $743. How many adults attended and how many children?

Question

texaschic101 · Answer

a = adult
c = child

a + c = 145 --> c = 145 - a
10a + 3c = 743

now sub 145 - a in for c in the 2nd equation
can you handle that ?

anonymous · Answer

im getting a decimal

texaschic101 · Answer

let me check...hold on

texaschic101 · Answer

10a + 3c = 743
10a + 3(145 - a) = 743
10a + 435 - 3a = 743
7a + 435 = 743
7a = 743 - 435
7a = 308
a = 308/7
a = 44
I did not get a decimal

texaschic101 · Answer

now just sub 44 in for a in the first equation and solve for c

anonymous · Answer

ohh ok, i see where i went wrong. i had 10a+435+3a=743

texaschic101 · Answer

oh..-3a not + 3a...

texaschic101 · Answer

can you solve for c now ?

texaschic101 · Answer

just sub 44 in for a in the first equation and solve for c

texaschic101 · Answer

you can then check your answers by subbing in what you got for a and c into the second equation and if the answer comes out equal, you have done it correctly

anonymous · Answer

i got c=101

texaschic101 · Answer

yes....now check your answers

anonymous · Answer

checks out. 44+101=145  :)

texaschic101 · Answer

10a + 3c = 743
10(44) + 3(101) = 743
finish this and what do you get ?