Easy math question for test

1) Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.




2) The school that Stefan goes to is selling tickets to a choral performance. On the first day of tickets sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

i know the answers are :
c=14
and
s=8

[plz help its a test review...

Hi,

1) Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

x + y = 158
x - y = 112
------------------
2x = 270
x = 135
y = 23

The plane's speed was 135 km/h and the wind's speed was 23 km/h <==ANSWER


2) The school that Stefan goes to is selling tickets to a choral performance. On the first day of tickets sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

3s + c = 38
3s + 2c = 52

-(3s + c = 38)
3s + 2c = 52

-3s - c = -38
3s + 2c = 52
----------------------
c = 14
s = 8

A senior citizen paid $14 and a child paid $14. <==ANSWER

I hope that helps!! :-)

number 2:
let x represent the price of senior tix
let y represent the price of child tix

3x + 1y = 38 (3 tickets times the price which we dont know, plus one ticket times a price we dont know equaled a total of 38, this is for the first day), lets isolate for one of the variables: