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Elizabeth collected ( 1)/(2) of a bin of glass bottles to recycle. Frank collected ( 61)/(3) times as many bins as Elizabeth. How many bins of bottles did Frank collect? Simplify your answer and write it as a fraction or as a whole or mixed number.

1 Answer

1 vote

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.

User Mark Arnott
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