asked 111k views
4 votes
suddenly the number of math problems mathletes had to solve increased by 60%! to keep on track the mathletes try to go faster but only increase their speed by 25% By what percent must the number of mathletes on the team increase so they can solve all the problems on time?

asked
User Mjarraya
by
7.5k points

1 Answer

4 votes

9514 1404 393

Answer:

28%

Explanation:

If x represents the fractional increase in the number of mathletes, and if problem-solving speed is jointly proportional to their speed and their number, we want ...

(1 +25%)(1 +x) = (1 +60%)

1 +x = 1.60/1.25 = 1.28

x = 0.28 = 28%

The team size must increase by 28% to solve all of the problems on time.

answered
User AbdullahDiaa
by
8.4k points
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