The principal at Richmond High School is planning the graduation ceremony for this year. Last year, it took her 50 minutes to hand out diplomas to 250 graduates. This year, there are 300 graduates.
If the principal hands out diplomas at the same rate, how long will it take to hand out diplomas at this year's ceremony?
To find the amount of time it will take the principal to hand out diplomas at this year's ceremony, we can set up a proportion.
We know that last year, the principal took 50 minutes to hand out 250 diplomas. This can be expressed as the ratio 50/250.
We can set up the proportion as follows:
50/250 = x/300
To solve for x, we can cross multiply:
250x = 50 * 300
Simplifying, we get:
250x = 15000
Dividing both sides by 250 gives:
x = 15000/250
x = 60
Therefore, it will take the principal 60 minutes to hand out diplomas at this year's ceremony.