# Math 208

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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?

• Math 208 -

Let x be the amount he invested at 6%.
Then x-1400 is the amount he invested at 5%.

Total interest after 1 year
x*0.06+(x-1400)*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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