taiwoolajide4u
taiwoolajide4u taiwoolajide4u
  • 09-05-2021
  • Mathematics
contestada

What number needs to be added to 5 and 3 so that the ratio of the first number to the second
becomes 4:3?​

Respuesta :

ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 09-05-2021

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

[tex]\frac{5+x}{3+x}=\frac{4}{3}[/tex]

"Cross-multiply."

[tex]3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x[/tex]

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

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