Ethan was asked by his teacher to subtract 15 from a certain number and then divide the result by 5. Instead, he subtracted 5 and then divided the result by 15, giving an answer of 30. What would his answer have been if he had worked the problem correctly?

Respuesta :

His answer should have been 86.

Ethan was asked to do a certain subtraction. Since we don't know the number, we assume the number to be "x".

If he's asked to subtract 15 from x, we have the mathematical equation

x - 15

Going forward, he was asked to divide the resulting answer by 5. The proceeding equation would then be

[tex]\frac{x - 15}{5}[/tex]

Looking at the  second part of the question, we would see that Ethan did

x - 5, then divided by 15

[tex]\frac{x - 5}{15}[/tex] = 30

solving further, we have

x - 5 = 30 * 15

x - 5 = 450

x = 450 - 5

x = 445

with x as 445, we input it into the first equation

[tex]\frac{445 - 15}{5}[/tex] =

[tex]\frac{430}{5}[/tex]= 86

His answer should have been 86.

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