Math 208
posted by Jackie
nico is saving money for his college education. He invests some money at 6%, and $1400 less that that amount at 5%. The investments produced a total of $172 interest in 1 yr. how much did he invest at each rate?

MathMate
Let x be the amount he invested at 6%.
Then x1400 is the amount he invested at 5%.
Total interest after 1 year
x*0.06+(x1400)*0.05=172
0.11x=172+1400*0.05
0.11x=242
x=2200
Check
2200*0.06+800*0.05=132+40=172 ok.
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