Question

Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437 miles, and there are 36 days left in the year. Which inequality can be used to find x , the number of miles he should walk each day to meet his goal?

Answer 1

500-437=64
64/x= amount of miles per day

Answer 2

The required inequality is '437 + 36x ≥ 500'

Explanation:

Given,

Number of miles completed by him = 437,

Number of days remained = 36,

If x be the number of miles covered in each day,

Then the remained miles to cover = number of days remained × miles covered in each day

= 36x

Thus, the total miles covered by him = already completed miles + remained miles

= 437 + 36x

According to the question,

Total miles ≥ 500 miles

⇒ 437 + 36x ≥ 500

Which is the required inequality.