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Big D decided to lose a few pounds and began training for a triathlon. At first, he started walking and eating a cheeseburger but soon realized that wouldn't work too well. Months went by, and he built up his endurance so that, over the course of one particular week, he ran seven times as much as he swam and biked three times as far as he ran. At the end of the week, he realized he had gone a total of 232 miles.

How many miles did Big D train for each activity during the week?

Answer :

Big D swam 8 miles, ran 56 miles, and biked 168 miles, based on solving a system of equations derived from the relationship between the distances covered in each triathlon activity.

To determine how many miles Big D trained for each activity during the week, we can set up a system of equations based on the information given. Let's denote the number of miles he swam as s, the number of miles he ran as r, and the number of miles he biked as b. According to the problem, he ran seven times as much as he swam and biked three times as far as he ran. Also, the total distance for all three activities is given as 232 miles.

From the problem we can establish the following equations:

r = 7s

b = 3r

s + r + b = 232

By substituting r and b in the third equation with their equivalents in terms of s from the first and second equations, we get:

s + 7s + 3(7s) = 232

s + 7s + 21s = 232

29s = 232

Now, dividing both sides by 29 to solve for s:

s = 232 / 29

s = 8 miles

Then, we plug in s into the first equation to find r:

r = 7 × 8

r = 56 miles

Finally, we use the value of r to find b:

b = 3 × 56

b = 168 miles

Therefore, Big D swam 8 miles, ran 56 miles, and biked 168 miles over the course of that week.

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Rewritten by : Barada

Answer:

NO

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