Aworker invested $26 comma 000 in two accounts, one yielding 5% interest and the other yielding 8%. if he received a total of $1570 in interest at the end of the year, how much did he invest at 5%?

x = 17000

Explanation:

Given data:

invested amount is $26 000 in 2 accounts

for one account  - interest rate is 5%

for second account interest rate is 8%

total amount received is $1570

assume x is amount in invested in first account

y is amount is invested in second amount

x + y = 26000

we know that total amount recieved is $1570 hence we have

0.05 x + 0.08 y = 1570

solving for x

putting x value in above equation

multiply eq by 0.05

1570 - 0.03y = 1300

270 = 0.03 y

y = 9000

hence x = 17000

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