Quantity Problems
In this section we add a fraction of a quantity to itself to and then use the total to find the original quantity
Example:
Problem 25: A quantity and its 1/2 added together become 16. What is the quantity?
Assume 2.\1 becomes 2
\1/2 becomes 1
Total: 3As many times as 3 must be multiplied to give 16, so many times 2 must be multiplied to give the required number.
\1 becomes 3
2 becomes 6
\4 becomes 12
2/3 becomes 2
\1/3 becomes 1Total: 5 1/3
1 becomes 5 1/3
\2 becomes 10 2/3
Do it thus: The quantity is 10 2/3
1/2 becomes 5 1/3
Total: 16
changed November 14, 2008