5.0k views
1 vote
Calvin stuffs 108 envelopes in 45 minutes. At this rate, how many envelopes can he stuff in 75 minutes?

A) 180
B) 160
C) 180
D) 225

1 Answer

2 votes

Final answer:

Calvin stuffs 2.4 envelopes per minute, and in 75 minutes he can stuff 180 envelopes.

Step-by-step explanation:

Calvin's rate of stuffing envelopes can be calculated using a simple proportion based on the given information. The rate at which he stuffs envelopes can be expressed as envelopes per minute.

Let's first find Calvin's rate of stuffing envelopes per minute:

Rate = Number of envelopes stuffed / Time taken

Rate = 108 envelopes / 45 minutes

Rate = 2.4 envelopes per minute (approximately, rounded to one decimal place)

Now, to find out how many envelopes Calvin can stuff in 75 minutes using the rate calculated above, we can set up a proportion:

Rate of stuffing envelopes per minute = 2.4 envelopes per minute

Let x be the number of envelopes Calvin can stuff in 75 minutes:

2.4 envelopes/minute= 75 minutes x envelopes

To solve for x (the number of envelopes Calvin can stuff in 75 minutes), we rearrange the equation:

x=2.4×75

x=180 envelopes

Therefore, Calvin can stuff 180 envelopes in 75 minutes at the same rate.

Therefore, the correct answer is A) 180.

User Sam Ivichuk
by
8.3k points