You can stuff 321 envelopes in 1 hour and 15 minutes. At this rate, how many envelopes can you stuff in 2 hours?
How would you write an equation?
you want to convert hours to envelopes.
321 envelopes = 1.25 hours
So, the conversion factor is 321 env/1.25 hr
2 hr * 321/1.25 env/hr = 513 envelopes
To write an equation for this scenario, we need to determine the amount of envelopes stuffed per unit of time.
Let's start by converting the given time of 1 hour and 15 minutes to a fraction of an hour. Since there are 60 minutes in an hour, 15 minutes is equal to 15/60 = 1/4 of an hour. So, 1 hour and 15 minutes is equivalent to 1 + 1/4 = 5/4 hours.
Next, we can calculate the rate at which envelopes are stuffed by dividing the number of envelopes (321) by the time in hours (5/4):
Rate = Number of envelopes / Time in hours
Rate = 321 / (5/4)
Now, to find the number of envelopes that can be stuffed in 2 hours, we can multiply the rate by the given time:
Number of envelopes = Rate x Time in hours
Number of envelopes = (321 / (5/4)) x 2
Simplifying this equation, we can multiply the numerator and denominator by 4/5 to get:
Number of envelopes = (321 x (4/5)) x 2
Number of envelopes = (257.6) x 2
Number of envelopes = 515.2
Thus, you can stuff approximately 515 envelopes in 2 hours at the given rate.