i have 136 people going on a zoo feild trip and 13$ for adult and 8$ for child cost them 1,163 . How many adults went and how many children went? I got -8x -8 = 1088 and 13x+8y=1163 5x=75 adults but cant figure out how they got the 1088 on that problem

Question

i have 136 people going on a zoo feild trip and 13$ for adult and 8$ for child cost them 1,163 . How many adults went and how many children went?  I got -8x -8 = 1088 and 13x+8y=1163  5x=75 adults but cant figure out how they got the 1088 on that problem

anonymous · Answer

you have a good start; two variables means you need two equations. Set x to adults, and y to children.

$$x+y=136$$
$$13x+8y=1163$$

Substitute the first equation into the second:
$$x = 136-y$$
$$13(136-y)+8y=1163$$
$$1768-13y+8y=1163$$
$$5y = 605$$
$$y = 121$$
$$x = 136 - 121 = 15$$

anonymous · Answer

Damn sorry for double post! You should definitely understand the process now! haha

anonymous · Answer

thanks alot for help

anonymous · Answer

No problem