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Lina20
3 months ago
11

Zack has two savings accounts with a total of $9,000. he withdrew 10% from one and 60% from the other to buy his girlfriend an e

ngagement ring. if the ring cost $2,175, find the remaining balance in each account.
Business
1 answer:
Scilla [3.8K]3 months ago
8 0
To start with,
Let x signify the balance in the first savings account.
Let y signify the balance in the second savings account.

The combined total in the accounts is $9,000, leading to the equation:
x + y = 9000                      (1)

Zack withdrew 10% from account x and 60% from account y, totaling $2,175.
Thus,
0.1x + 0.6y = 2175
or
x + 6y = 21750                  (2)

To find y, subtract equation (1) from (2):
x + 6y - (x + y) = 21750 - 9000
5y = 12750
y = 2550
Next, from (1), compute:
x = 9000 - 2550 = 6450

Consequently, the balance in the first account is
0.9*x = 0.9*6450 = $5,805, while the balance remaining in the second account is
0.4*y = 0.4*2550 = $1,020.

Final answer:
The balance in the first account is $5,805 and the balance in the second account is $1,020.

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