Answer:
Nguyen could type 96 words in 10 minutes.
Explanation:
To find the number of words Nguyen could type in 10 minutes at the rate of 120 words in 2½ minutes, you can first convert the time of 2½ minutes to a fraction of 10 minutes. Since 10 minutes is equal to 10/1, you can express 2½ minutes as a fraction of 10 minutes by multiplying the fraction 2½/1 by 10/10:
2½ minutes * 10/10 = (5/2) * (10/10)
= (5/2) * 1
= 5/2 minutes
Then, you can multiply the number of words Nguyen can type in 5/2 minutes by the ratio of the time you want to the time you have:
Words typed = 120 words * (10 minutes / 5/2 minutes)
= 120 words * (10 * 2/5)
= 120 words * 4/5
= 96 words