When Rachel divides her favorite number by 7, she gets a remainder of 5. What will the remainder be if she multiplies her favorite number by 5 and then divides by 7?
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boop
answer:3
To answer this question, we can use the concept of remainders. Let's go step by step.
When Rachel divides her favorite number by 7, she gets a remainder of 5. This means her favorite number can be represented as 7x + 5, where x is any positive integer.
Now, we need to find the remainder when Rachel multiplies her favorite number by 5 and then divides by 7. Let's represent her favorite number by 7x + 5.
5(7x + 5) / 7
Expanding the expression:
35x + 25 / 7
When we divide 35x by 7, we get 5x without any remainder. So, our expression becomes:
5x + 25 / 7
Finally, when we divide 25 by 7, we get a remainder of 4. Therefore, the remainder will be 4 when Rachel multiplies her favorite number by 5 and then divides by 7.