Question

Tony is participating in a 4 day cross-country biking challenge. He biked for 59, 48, and 57 miles on the first three days. How many miles does he need to bike on the last day so that his average (mean) is 58 miles per day?

Answer 1

To find out how many miles Tony needs to bike on the last day so that his average is 58 miles per day, we can calculate the total distance he will bike over the 4 days and set it equal to the average multiplied by the number of days. Then, solve the equation for the distance on the last day.

Step-by-step explanation:

To find out how many miles Tony needs to bike on the last day so that his average is 58 miles per day, we need to first calculate the total distance he will bike over the 4 days. Given that he has already biked 59, 48, and 57 miles on the first three days, we can calculate the total distance as:

Total Distance = 59 + 48 + 57 + x (where x represents the distance on the last day)

Next, we know that the average (mean) should be 58 miles per day. So, we can set up the equation:

(Total Distance)/4 = 58

Now, we can solve for x:

(59 + 48 + 57 + x)/4 = 58

Combine like terms and solve the equation:

(164 + x)/4 = 58

Multiply both sides by 4:

164 + x = 232

Subtract 164 from both sides:

x = 68

Therefore, Tony needs to bike 68 miles on the last day.