Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.

x + y = 6,000

0.025x - 0.015y = 110

Step-by-step explanation:

Let x and y = amount of money deposited in each account respectively

Total savings=$6,000

Therefore

x+y=6000

x account earns 1.5 percent interest, and y account earns 2.5 percent interest.

1.5% * y

=(1.5/100)y

=0.015y

2.5% * x

=(2.5/100)x

=0.025x

The interest in the account that earned 2.5 percent was $110.00 more than the other account.

This means the difference between 0.025x account and 0.015y account=110

0.025x-0.015y=110

x + y = 6,000

0.025x - 0.015y = 110

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3