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
109 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 f(x) = 2x + 3 when x equals 5?
+
Math question: What is the derivative of an integral from a to x of a function f(t) with respect to x?
+
Math Question: What is the result of dividing 3/4 by 1/2?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
reduction method 2x-y=13 x+y=-1
The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.
(5u + 6)-(3u+2)=
2x2 and how much?
sin 30
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
Convert 5/9 to a decimal
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
392929-9
The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
We have two distributions: A (M = 66.7, 95% CI = [60.3, 67.1]) / B (M = 71.3 95% CI = [67.7, 74.9]). Erin maintains that B is significantly larger than A. Provide your opinion on Erin’s argument and justify your opinion.
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
Determine the general solution of the equation y′+y=e−x .
It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60¢ per item produced, and if the manufacturer can sell each item for 90¢, find how many items must he produce and sell to make a profit of $2000?
Write a linear equation in the slope-intercept form. Slope of the line is -1 and goes through (8,4)