This year's favorite to win the frog jumping event is Newton. The objective is to take the longest jumps and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton's toughest competition. Newton takes 4 jumps and falls short of the mark by 4 steps. Pythagoras takes 5 jumps and overshoots the mark by 5 steps. Fermat hits the mark exactly after 6 Jumps. How long, in steps, is each frog's jump?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.8: Work Problems
Problem 23P
icon
Related questions
Question

Can you help me solve this in the simplest way possible?

This year's favorite to win the frog jumping event is Newton. The objective is to take the longest jumps
and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton's toughest competition.
• Newton takes 4 jumps and falls short of the mark by 4 steps.
Pythagoras takes 5 jumps and overshoots the mark by 5 steps.
Fermat hits the mark exactly after 6 jumps.
How long, in steps, is each frog's jump?
Transcribed Image Text:This year's favorite to win the frog jumping event is Newton. The objective is to take the longest jumps and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton's toughest competition. • Newton takes 4 jumps and falls short of the mark by 4 steps. Pythagoras takes 5 jumps and overshoots the mark by 5 steps. Fermat hits the mark exactly after 6 jumps. How long, in steps, is each frog's jump?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage