Problem One
Pretty nice little application problem. The thing to do is compare money with money and cubic yards with cubic yards.
Givens
1 cubic yard costs 98 dollars.
x cubic yards costs 72.59 dollars.
1 cubic yard = 3*3*3 = 27 cubic feet.
Length = 10 feet
Height = 3/12" = 1/4 foot.
Solve
27 cubic feet / 98 dollars
x cubic feet / 72.56 Cross multiply
98x = 27* 72.56
x = 27 * 72.56 / 98
x = 19.99 cubic feet.
L * W * H = 19.99 cubic feet (call it 20. We're going to be rounding anyway.
10*1/4*W= 20
H = 4 * 20/10 = 8 feet which is what you had. <<<< Answer
We agree so either both of us are wrong or we are both right. I'm an optimist. I choose to believe we are both right.
Problem Two
When you get the answer correct, there is not much to add. I would agree with what you wrote. There is one note that you should observe. Be very careful of answer A. That is a snake in the grass. It's true it is a constant, but it is not a term. 0.25 is what is charged per day and it is just a coefficient of x.
