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In Mathematics / Middle School | 2014-09-24

In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.

How much money did they both have in their accounts in May?

Asked by KewlKatCutie

Answer (3)

Liam’s saving = x + $140
Charlie’s saving = x + 5%
In order to get the value of x, let’s find the amount which 5% is equals to 140
=> 2800
=> 5% = 0.05
=> 2800 x 0.05
=> 140
=> 2800 (amount that Liam and Charlie have in their account before they added)
Thus, Liam and Charlie both have $2800 on their account .
=> Liams = 2800 + 140 = 2940
=> Charlir = 2800 + 5% (140) = 2940.

Answered by taskmasters | 2024-06-10

Let
x-------> amount of money in their savings accounts in May
we know that
In June, Liam deposited $ 140 into his account
so
Balance Liam’s saving in June is equal to
x + 140 ------> equation 1
In June, Charlie increased the money in his account by 5 %
Balance Charlie’s saving in June is equal to
x + 0.05 x ------> equation 2
Equate equation 1 and equation 2
x + 140 = x + 0.05 x x + 140 = 1.05 x 1.05 x − x = 140 0.05 x = 140 x = 140/0.05 x = 2 , 800 $
therefore
the answer is
$ 2 , 800

Answered by calculista | 2024-06-11

Liam and Charlie both had $2800 in their savings accounts in May. Liam deposited $140 in June, while Charlie's balance increased by 5%. After these changes, their balances remained equal at $2800.
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Answered by calculista | 2024-09-25