Bob expected to spend a total of $9.00 to buy a given amount of pasta salad at a fixed price per pound. However, the price of the salad was $0.20 more per pound than Bob had expected. Consequently, he spent $9.00 and bought \(\frac{1}{2}\) pound less of the salad. How much did Bob spend per pound for the salad?
A. $1.80
B. $1.85
C. $1.90
D. $1.95
E. $2.00
Hello, people. Let's get into this.
For this question, you may find it easier to simply test the values provided in the answer options after understanding what is going on in the prompt. Basically, Bob thought he was going to get a certain number of pounds of pasta, but because the cost per pound was $0.20 higher than he thought, he ended up with half a pound less.
Let's test Option (A):
$9 / $1.8 = 5 pounds
Remember, Bob got half a pound less than he expected. So, if we reduce the price per pound by $0.20, for this to be the correct answer, we should get half a pound more: 5.5 pounds.
But is $9 / $1.6 = 5.5 pounds?
No, it's 5.625 pounds. Therefore, this can't be the correct answer.
Similarly test the other options...
When you test Option (E):
$9 / $2 = 4.5 pounds
We're therefore testing whether we get 5 pounds if the price per pound were $0.20 lower.
Is $9 / $1.8 = 5 pounds?
Yes, therefore (E) is your answer.