Question

Shawna ran a certain number of miles on Friday. She ran twice as many miles on...

Shawna ran a certain number of miles on Friday. She ran twice as many miles on Saturday. On Sunday, she ran a third as many miles as the sum of Friday and Saturday. If she ran a total of 24 miles over the three days, how many miles did she run each day?

Math   Prealgebra   
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Answer #1

Let Shawna ran X miles on Friday.

Then as per the question, she ran 2X miles on Saturday.

or, we can say she ran a total of X + 2X = 3X miles on friday and saturday.

On sunday she ran a third of 3X miles as given in question, thus on sunday she ran X miles.

Thus she ran a total of 3X + X = 4X miles in three days which is equal to 24 miles.

4X = 24,

X = 6

so, on friday friday, she ran X = 6 miles.

on saturday, 2X = 12 miles

and on sunday again X = 6 miles.

This is the answer.

Thank you.

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