math
posted by paige on .
Find a fraction equivalent to 1\2. The denominator must be 5 less than 3 times its numerator. The numerator is less than 8. Is the answer 2\4

Let x = numerator
Let 3x  5 = denominator
Let's set up an equation:
x/(3x  5) = 1/2
Cross multiply:
2x = 3x  5
Solve for x:
x = 5
Therefore: 3x  5 = 10
Fraction is 5/10
(The numerator is less than 8)