Question

7% less than 400
fast​

Answer 1

Answer:

The numbers divisible by 7 are the numbers of the form 7*n, such as: 0, 7, 14, 21…

We need to find the number of these between 10 and 400. One way we can do this is by finding the least and greatest numbers that satisfy the requirements.

What is the smallest number divisible by 7 that is less than 10? We can divide 10 by 7 to get 1.42857… This number is between 1 and 2, which means that the first multiple of 7 greater than 10 is 7*2, or 14. Because 7 is a relatively small number, we can check this by testing the numbers greater than 10 to see if they are divisible by 7. 11 is not, 12 is not, 13 is not, and 14 is divisible by 7. It is the smallest such number greater than 10 to be such.

We can do this with 400 as well. 400/7 is 57.14… This time we need a number smaller than 400, so the largest such number is 57*7 = 399.

We are now counting the multiples of 7 from 14 to 399. Let’s express these numbers in terms of groups of 7. 14 is 2 groups of 7 and 399 is 57 groups of 7, as we have shown earlier. The number of numbers divisible by 7 between 14 and 399 is the same as the number of groups between 2 and 57. There are 56 groups from 2 groups to 57 (can you show this?), so there are also 56 numbers divisible by 7 between 14 and 400.

Answer 2

Answer:

372.

Step-by-step explanation:

$400 \times \frac{7}{100} \\ = 4 \times \frac{7}{1} \\ = \frac{28}{1} \\ = 28. \\ by \: given \: information \\ 400 - 7\% \\ 400 - 28 \\ = 372.$

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