Question 165624
well there are two amounts we are dealing with here that total $33000. so we will call one amount x and the other 33000-x.  the total of the two principal sums times there various interest rates will equal the interest earned.

so we have .04x+.0225(33000-x)=970  distribute the 2nd term and we get

.04x+742.50-.0225x=970 simply to .0125x=227.5  x=$18200 ...  $33000-x=$14800

so Donna invested $18,200 at 4% and $14,200 at 2.25%