suddenly the number of math problems mathletes had to solve increased by 60%! to keep on track the mathletes try to go faster bu

Question

2 years ago

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suddenly the number of math problems mathletes had to solve increased by 60%! to keep on track the mathletes try to go faster bu

t 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?

Mathematics

1 answer:

Natali [406] · Answer 1 · 2022-12-29T10:02:23+03:00

9514 1404 393

Answer:

28%

Step-by-step 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.