master7chef master7chef
  • 24-06-2021
  • Mathematics
contestada

A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​

Respuesta :

rococo908
rococo908 rococo908
  • 24-06-2021

Answer:

24

Step-by-step explanation:

Let 12x represent the original number.

One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.

Create an equation that sets this equal to 38, and solve for x:

12x + 3x + 4x = 38

19x = 38

x = 2

The original number is represented by 12x, so plug in 2 as x:

12(2)

= 24

So, the original number is 24.

Answer Link

Otras preguntas

By building military bases around the world, imperialist nations mainly aimed to A: resupply naval vessels. B: initiate wars in several places at once.
What Times what equals 66
Find two consecutive integers such that the larger is nine more than twice the smaller
what were three ways spartans were different  from other people in greece?
What Gilded Age President was known for his integrity?
What was 1 of the dangers of living in a tenement?
How does horizontal integration differ from vertical integration?
write each rate as a unit rate 14hours in 2weeks
What is the answer to 25 times 2/5
For every 13 birds born at the zoo there are two animals born. There were 44 if you were animals born last month then birds so how many animals were born?