Set Up an Equation and Solve the Following Problem

Multiple Choice

Set up an equation and solve the following problem. A sum of $2,400 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $112 more than the interest earned by the 10% investment, find the amount invested at each rate.

A) $1,100 at 10%, $1,300 at 12%
B) $1,000 at 10%, $1,400 at 12%
C) $800 at 10%, $1,600 at 12%
D) $650 at 10%, $1,750 at 12%