Respuesta :

saturns

Hello there! There are 24 numbers.

Let's list the multiples of 10 and 7 going up to 100:

7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Okay so these are the multiples of 7 and 10 that can fit into 1 - 100.

If you count them up, there are 14 multiples of 7, and 10 multiples of 10.

10 + 14 = 24 numbers in total.

This means that there are 24 numbers between 1 and 100 (inclusive) are divisible by 10 or 7.

I hope this helps and have a great day!

morgojohn78

Answer:

23

Explanation:

There are 10 numbers divisible by 10 between 1 and 100, and 14 numbers divisible by 7 between 1 and 100.

So, you might think there are 10 + 14 = 24 numbers divisible by one or the other, but this is overcounting something.

We're counting every number which is divisible by both 10 and 7 twice. So, for example, 70 is counted once as a number divisible by 10, and then again as a number divisible by 7.

So, we need to count how many numbers are divisible by both 10 and 7 and subtract this from what we had before.

Being divisible by both 10 and 7 is the same thing as being divisible by 70, so there is 1 number between 1 and 100 divisible by both.

Subtracting, there are 24 - 1 = 23 numbers divisible by 10 or 7.

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