Hi,
Start all word problems like these by assigning a variable
for ex: Let x represent the amount invested at 7%,
then ($25,000 - x) would the smount invested at 4%
question states:
.04($25,000-x) + .07x = $1300
.03x + $1000 = $1300
.03x = $300
x = $10,000, amount invested at 7%. $15,000 invested at 4% ($25,000-$10,000)
checking our answer
.04*$15,000 + .07*$10,000 = $600 + $700 = $1300