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Keshawn and Denny were playing cards. Keshawn had 3 times as many points as Denny. They had 280 points altogether. How many points did Keshawn have?

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Final answer:

Keshawn had 3 times as many points as Denny, with a combined total of 280 points. Solving the equation 4D = 280, we find that Denny had 70 points, thus Keshawn had 210 points.

Step-by-step explanation:

Keshawn and Denny were playing cards Keshawn had 3 times as many points as Denny. Together, they had 280 points in total. We want to find out how many points Keshawn had.

Let's denote the number of points Denny had as D, and the number of points Keshawn had as K. According to the problem, Keshawn had 3 times the points as Denny, so we can write that as K = 3D. Together, their points add up to 280, which gives us the equation K + D = 280.

Substituting 3D for K in the equation, we have 3D + D = 280. Combining like terms, we get 4D = 280. Dividing both sides by 4 to solve for D, we find that D = 70. Therefore, Keshawn's points are triple Denny's points, which means K = 3 * 70 = 210.

So, Keshawn had 210 points.

User Alexandru Diacov
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