Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)
Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8
Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
Hey!
Ignore the birthday party stuff and go to 95 first. Subtract 9 from 95 you get the answer 86. Next you need to find how many times 8 goes into 86. 86/8 which is 10 with a remainder of 6. Therefore, Guy can donate to 6 animal shelter. I hope this helps with future problems.
You can set this up as a system of equations.
x + y = 19
10x + 25y = 3.70
Your answer would be 31.42 dimes and -12.42 quarters.
15 + 0.75x = 57
-15 -15
0.75x = 42
0.75x/0.75 = 42/0.75
x = 56 people
The student interviewed 56 people on the day he earned $57