If Mary inspects every sixth calculator and Nancy inspects every fifth calculator, which calculator will

The thirtieth calculator

The calculator they both inspect is the least common multiple of 6 and 5.

The LCM of 6 and 5 equals 30.

THX

Hi thx

To find the first calculator that both Mary and Nancy will inspect, we need to determine the first common multiple of the numbers 6 and 5.

One way to do this is by listing the multiples of each number until we find a common multiple.

For Mary inspecting every sixth calculator: 6, 12, 18, 24, 30,...

For Nancy inspecting every fifth calculator: 5, 10, 15, 20, 25, 30,...

As we can see, the first common multiple of 6 and 5 is 30 because it appears in both lists. Therefore, the first calculator that both Mary and Nancy will inspect is the 30th calculator.