Melodie, a super excited Khan Academy user, has increased her points by 75% in a week. She's at 14,000 points now. How many points did Melodie have on Khan Academy last week?

Respuesta :

Answer:

8,000 points.

Step-by-step explanation:

Let x be the number of points Melodie have on Khan Academy last week.

We have been given that Melodie has increased her points by 75% in a week. She's at 14,000 points now.

We need to figure out x such that x plus 75% of x equals 14,000. We can represent this information in an equation as:

[tex]x+(\frac{75}{100}*x)=14,000[/tex]

[tex]x+0.75x=14,000[/tex]

[tex]1.75x=14,000[/tex]

Upon dividing both sides of our equation by 1.75 we will get,

[tex]\frac{1.75x}{1.75}=\frac{14,000}{1.75}[/tex]

[tex]x=8,000[/tex]

Therefore, Melodie have 8,000 points on Khan Academy last week.

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