Problema Solution

Mira has a total income per year of PHP 110 from two investments: each at 4% and 3% simple interests. How much did she invest at each rate if her capital was PHP 2824?

Answer provided by our tutors

let


x = the money invested at 4% simple rate

y = the money invested at 3% simple rate


her capital was PHP 2824 means


x + y = 2824


the total income per year is PHP 110


0.04x + 0.03y = 110


by solving the system of equations


x + y = 2824

0.04x + 0.03y = 110


we find


x = PHP 2,528


y = PHP 296


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Mira invested PHP 2,528 at 4% and PHP 296 at 3%.