Question

Beren spent 60% of the money in her piggy bank, and Ceren spent 7% of the money in her piggy bank to buy a joint gift for Deren, totaling 90 TL. In the end, it was observed that the remaining amounts in Ceren and Beren's piggy banks were equal. Therefore, what was the total amount of money that Beren and Ceren had initially? A) 120 B) 130 C) 150 D) 160 E) 180

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Rasheed

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Let's say the total amount of money in Beren and Ceren's piggy banks initially is x TL.

Beren spent 60% of x, which means she has (100-60)% = 40% of x remaining in her piggy bank.

Ceren spent 7% of x, which means she has (100-7)% = 93% of x remaining in her piggy bank.

The total remaining amount in their piggy banks is given to be equal, so we can set up the equation:

0.40x = 0.93x - 90 TL

Subtracting 0.40x from both sides gives:

0.53x = 90 TL

Dividing both sides by 0.53 gives:

x = 90 TL / 0.53

x ≈ 169.81 TL

Therefore, the total amount of money that Beren and Ceren had initially is approximately 169.81 TL.

Answer: \boxed{169.81 \text{ TL}}.

Beren spent 60% of x, which means she has (100-60)% = 40% of x remaining in her piggy bank.

Ceren spent 7% of x, which means she has (100-7)% = 93% of x remaining in her piggy bank.

The total remaining amount in their piggy banks is given to be equal, so we can set up the equation:

0.40x = 0.93x - 90 TL

Subtracting 0.40x from both sides gives:

0.53x = 90 TL

Dividing both sides by 0.53 gives:

x = 90 TL / 0.53

x ≈ 169.81 TL

Therefore, the total amount of money that Beren and Ceren had initially is approximately 169.81 TL.

Answer: \boxed{169.81 \text{ TL}}.

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