Grayson has two saving accounts with a total of 73,000. He withdrew 25% from the other to biy a 27,820 motorcycle. What is the remaining balance in each saving account

Respuesta :

The remaining balance in the second account is $1,020

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let x = the balance in the first account.

Let y = the balance in the second account.

The total amount in the two accounts is $73,000, therefore

x + y = 73,000  (1)

Grayson withdraws 25% of x and 75% of y for a total of $27,820 .

Therefore

0.25x + 0.75y = 27,820

or

25x + 75y = 27,82000 (2)

Subtract (1) from (2).

y = 25500

From (1), obtain

x = 6450

The remaining balance in the second account is $1,020

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