Question

danielle’s sports sells golf tees in packs of 2. meanwhile, kylie’s gear sells them in packs of 5. if both shops sold the same number of golf tees this week, what is the smallest number of tees each could have sold? tees submit

Explanation:

Step1: Identify the problem type

We need to find the least common multiple (LCM) of 2 and 5, since we want the smallest number that is a multiple of both (as both shops sold the same number of tees, which must be a multiple of their pack sizes).

Step2: Recall LCM of coprime numbers

Numbers 2 and 5 are coprime (their greatest common divisor is 1). For coprime numbers \(a\) and \(b\), the LCM is \(a\times b\).

Step3: Calculate LCM of 2 and 5

Using the formula for LCM of coprime numbers, \( \text{LCM}(2, 5)=2\times5 = 10 \).

Answer:

10