For the last 3 hours, Shantell has been writing a research paper. She writes a page every Start Fraction 2 over 3 End Fraction hour. How many pages has she written?

A. 4 Start Fraction 1 over 2 End Fraction
B. 4 Start Fraction 1 over 3 End Fraction
C. 4 Start Fraction 1 over 4 End Fraction
D. 4 Start Fraction 2 over 3 End Fraction

1 answer

We can use unit rates to solve this problem. Shantell writes a page every Start Fraction 2 over 3 End Fraction hours. To find out how many pages she has written in 3 hours, we can set up a proportion:

Start Fraction 2 over 3 End Fraction hours per page = 3 hours / x pages

Where x is the number of pages she has written. We can solve for x by cross-multiplying:

2x = 3(Start Fraction 3 over 2 End Fraction)
2x = 9/2
x = Start Fraction 9 over 4 End Fraction

Therefore, Shantell has written 4 Start Fraction 1 over 4 End Fraction pages in the last 3 hours. The answer is C.