A survey made in one school obtained the next results: 86 students train football, 40 students train basketball, and 36 students train ce hockey. The number of students who train two of the three named sports is two times less than the number of students who train only one sport. The number of students who train only one sport is three times greater than the number of students who train all three sports. How many students train all three sports?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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A survey made in one school obtained the next results: 86 students train football, 40 students train basketball, and 36 students train
ice hockey. The number of students who train two of the three named sports is two times less than the number of students who train
only one sport. The number of students who train only one sport is three times greater than the number of students who train all three
sports. How many students train all three sports?
Transcribed Image Text:A survey made in one school obtained the next results: 86 students train football, 40 students train basketball, and 36 students train ice hockey. The number of students who train two of the three named sports is two times less than the number of students who train only one sport. The number of students who train only one sport is three times greater than the number of students who train all three sports. How many students train all three sports?
Find all three-digit numbers with different digits such that those three-digit numbers are divisible by all two-digit numbers obtained by
removing one of the digits.
Transcribed Image Text:Find all three-digit numbers with different digits such that those three-digit numbers are divisible by all two-digit numbers obtained by removing one of the digits.
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