SOLUTION: The ratio of left-handed to right-handed students was 3 to 14. If the total number in both categories was 714, how many were right-handed? Please help solve.
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Question 715577: The ratio of left-handed to right-handed students was 3 to 14. If the total number in both categories was 714, how many were right-handed? Please help solve.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
THE FIFTH GRADER SOLUTION:
If that ratio was true in a group of 17=3+14 students, you would have 3 left handed students and 14 right handed students out of 17 students.
The ratio of right handed to total would be
, so the total number of right handed students is
ANOTHER WAY:
= number of right handed students
= number of left handed students
The ratio of left-handed to right-handed students is
"Equating the cross products"
or multiplying both sides of the equal sign times {{x}}} and times we get
AND ANOTHER WAY:
The ratio of left-handed to right-handed students is
If the number of left-handed students is and
the number of right-handed students is ,
then the total number of students is
.
So --> -->
and the number of right-handed students is
-->
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