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)
What is the maximum number of possible turning points for the cubic function f(x) = x^3?
+
What is the formula for the equation of an ellipse centered at (h, k), with semi-major axis a and semi-minor axis b?
+
What is the simplified form of the radical expression √(125) - √(27) + √(8)?
+
New questions in Mathematics
Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0
2+2
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
(x^2+3x)/(x^2-9)=
Solve: −3(−2x+23)+12=6(−4x+9)+9.
2x-4y=-6; -4y+4y=-8
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.
9/14 x 7/27 carry out indicated operation
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
Log0
Let N be the total number of ways to choose at least one ride, out of a total of 7 different ones, existing in an amusement park. Can it be said that N is a natural number equal to?
Square root of 169 with steps
In a school playground When going out for recess, 80 men and 75 women coexist, the Patio measures 10 meters For 40 meters (what will be the population density in the break
Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?
Slope (7,3) and (9,5)
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2