Problema Solution

Vivian invested a total of $5600 in two bonds. She invested in one bond at 2% per annum and in another bond at 5% per annum. In one year, the interest earned on each bond was the same. How much did Vivian invest in each bond?

Answer provided by our tutors

let


x = the money invested at the 2% bond


y = the money invested at the 5% bond


Vivian invested a total of $5600 in two bonds


x + y = 56000


In one year, the interest earned on each bond was the same


0.02x = 0.05y


by solving the system of equations


x + y = 56000

0.02x = 0.05y


we find


x = $40,000


y = $16,000


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Vivian invested $40,000 in 2% bonds and $16,000 in 5% bonds.