Problema Solution

Lisa Chen invested $24000, part at 8% and the rest at 7.2%. How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2%

Answer provided by our tutors

let


x = the money invested at 8%

y = the money invested at 7.2%


Lisa Chen invested $24000, part at 8% and the rest at 7.2%:


x + y = 24000


the income from the 8% investment is two thirds that of the 7.2%


0.08x = (2/3)(0.072y)


by solving the system of equations


x + y = 24000

0.08x = (2/3)(0.072y)


we find


x = $9,000


y = $15,000


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Lisa Chen invested $9,000 at 8% and 7.2% at $15,000.