Question 791858
I'll get you started


Let x = amount of money to invest in fund A, y = amount of money to invest in fund B


Since he has $25,000 to invest, this means that the two smaller amounts x and y must add to 25000 like so


{{{x+y = 25000}}}


Solve for y to get


{{{y = 25000 - x}}}


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Fund A earns 4.5% simple interest, so in one year you'll have 0.045x dollars from fund A


Fund B earns 5% simple interest, so in one year you'll have 0.05y dollars from fund B


You want the total of these two interest results to add to $1175, so that means we can set this up


{{{0.045x+0.05y=1175}}}


{{{0.045x+0.05(25000 - x)=1175}}} Plug in {{{y = 25000 - x}}}


{{{0.045x+0.05(25000) + 0.05(-x)=1175}}} Distribute


{{{0.045x+1250 - 0.05x=1175}}} Multiply


I'll let you finish up.