Question

Guido has a quarter of Andrés's money and three times as much as David's money. How much money does each have if the sum of all the amounts is $48,000?

183

likes
916 views

Answer to a math question Guido has a quarter of Andrés's money and three times as much as David's money. How much money does each have if the sum of all the amounts is $48,000?

Expert avatar
Fred
4.4
118 Answers
1. Declare the variable for Andrés's money: x
2. Determine Guido's money which is a quarter of Andrés's: y = \frac{x}{4}
3. Determine David's money, which is a third of Guido's: z = \frac{y}{3} = \frac{\frac{x}{4}}{3} = \frac{x}{12}
4. Write the equation that sums their total money: x + \frac{x}{4} + \frac{x}{12} = 48000
5. Get a common denominator for the fractions: x + \frac{3x}{12} + \frac{x}{12} = 48000
6. Combine the fractions: x + \frac{4x}{12} = 48000
7. Simplify the expression: x + \frac{x}{3} = 48000
8. Eliminate the fraction by multiplying by 3: 3x + x = 144000
9. Simplify further: 4x = 144000
10. Solve for x by dividing by 4: x = 36000

Final amounts:
- Andrés: x = 36000
- Guido: y = \frac{36000}{4} = 9000
- David: z = \frac{9000}{3} = 3000

Frequently asked questions (FAQs)
Math Question: How many different types of triangles can be formed by using side lengths that are 5 cm, 6 cm, and 9 cm?
+
Question: Find the absolute value of the complex number (3 - 2i).
+
What is the standard equation of an ellipse with center (h, k) and major axis of length 2a and minor axis of length 2b? (
+
New questions in Mathematics
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
-8+3/5
X^2 = 25
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
is the x element (180,270), if tanx-3cotx=2, sinx ?
Convert 78 percent to a decimal
78 percent to a decimal
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
Oi👋🏻 Toque em "Criar Nova Tarefa" para enviar seu problema de matemática. Um dos nossos especialistas começará a trabalhar nisso imediatamente!
Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.
6(k-7) -2=5
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
Suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero. How many different plates can be engraved? consider only 26 letters and 10 digits draw an example of this.