To determine how many problems were in Conrad's homework, we can set up a proportion using the information provided. Let's denote the total number of problems as "x".
Conrad answered 24 problems correctly out of x problems, which gives us the ratio:
24/x = 80/100
To solve for x, we can cross-multiply:
80x = 24 * 100
Dividing both sides by 80:
x = (24 * 100) / 80
x = 2400 / 80
x = 30
Therefore, there were 30 problems in Conrad's homework.
The correct answer is C
Let's solve this step by step:
Elizabeth collected (1/2) of a bin of glass bottles.
Frank collected (61/3) times as many bins as Elizabeth.
To find how many bins Frank collected, we need to multiply Elizabeth's collection by (61/3):
Frank's collection = Elizabeth's collection * (61/3)
Frank's collection = (1/2) * (61/3)
To simplify this, we can multiply the numerators and denominators separately:
Frank's collection = (1 * 61) / (2 * 3)
Frank's collection = 61/6
Therefore, Frank collected 61/6 bins of glass bottles.
Note: If you prefer a mixed number, you can divide 61 by 6 and express the answer as a mixed number. The division would result in 10 with a remainder of 1, so the mixed number would be 10 and 1/6 bins.