Cho had $2.85 in nickels and $3.40 in dimes. Then she gave an equal number of her nickels and dimes to her brother. Now Cho has the same amount of money in nickels as in dimes.

The equation 285−5x=340−10x represents the situation.

Which does the variable x represent?

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Respuesta :

285-5x=340-10x

285-5x-(340-10x)=0

-5x-(-10x+340)+285=0

-5x+10x-340+285=0

5x-55=0

5x=55

x=55/5

x=11

Answer:

x = 11

Step-by-step explanation:

The equation represents as:

285 − 5x = 340 − 10x

combine similar terms:

285 - 340 = 5x - 10x

simplify:

-55 = -5x

divide -5 on both sides:

x = 11