SOLUTION: divide 98 into two parts so that the larger number divided by the smaller yields quotient greater than 6.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: divide 98 into two parts so that the larger number divided by the smaller yields quotient greater than 6.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 503680: divide 98 into two parts so that the larger number divided by the smaller yields quotient greater than 6.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 98
.
x/y > 6
.
solve the equality and then adjust for >.
.
x/y = 6
x = 6y
.
substitute
.
6y +y = 98
7y = 98
y = 14
.
x = 98-y
x = 84
.
So, what is the quotient?
84/14 = 6
.
What does the question ask?
Quotient > 6, not =6.
So, you have to adjust for the > condition.
.
x/y > 6
so
x must be > 6y
6*14 = 84
so
x > 84
.
Answer: If one part is > 84 inches, the quotient will be > 6.
.
Looking only at integers, though that is NOT a requirement.
85/13 = 6.54
86/12 = 7.17
etc.
.
Done.