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

73

likes
365 views

Answer to a math 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

Expert avatar
Rasheed
4.7
110 Answers
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}}.

Frequently asked questions (FAQs)
Math question: What is the value of log(base 5)125?
+
Question: What is the limit as x approaches 2 of (3x^2 + 2x - 5)/(x^2 + 4x - 4)?
+
Question: What is the volume of a sphere with radius r and surface area A? (volume formula: V = (4/3)πr³, surface area formula: A = 4πr²)
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
reduce the expression (7.5x 12)÷0.3
89, ÷ 10
How to do 15 x 3304
When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
g(x)=3(x+8). What is the value of g(12)
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.