BingChilling124
BingChilling124 BingChilling124
  • 20-08-2022
  • Mathematics
contestada

Divide 22 into two parts in such a way that 2/3 of one part is equal to 1/4 of the other.

Respuesta :

alexyclu
alexyclu alexyclu
  • 20-08-2022

Answer:

16 and 6

Step-by-step explanation:

To solve this we can make a systems of equations saying that

[tex]x+y=22\\\frac{2}{3} x=\frac{1}{4}y[/tex]

We see that when multiplying both sides of the second equation by 3/2, we get [tex]x=\frac{3}{8}y[/tex]. Now when we plug this into the first equation we get

[tex]\frac{11}{8}y=22\\y=16\\x=22-16=6[/tex]

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