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Question

Melanie invests a total of $7,500 in two accounts. The first account earned a rate of return of 14% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $-380.00. How much was invested into each account?

Answer 1

a + b = 7500 ------> a = 7500 - b

.14a - .08b = -380

 

Substitute!

 

.14(7500 - b) - .08b = -380

1050 - .14b - .08b = -380

.22b = 1430

b = 6500

 

a = 7500 - 6500 = 1000