Question

Oh no! The principal can't unlock her phone, because she can't remember how to solve the puzzle for her password.

At least two numbers that do NOT work, with an explanation of why they don't work.
Your best guess for a number that does work (or almost works).

A reminder of the puzzle:
The number is between 8,500 and 8,800.
When multiplied by 8, the result is a whole number.
The digit in the hundreds place is ¾ the digit in the thousands place.
The sum of all digits in the number is 26.
The digit in the hundredths place is 200% of the digit in the tenths place.
There are no zeros in the decimal places.

Answer 1

The numbers are:

• 8,640.125
• 8,604.125
• 8,622.125
• 8,613.125
• 8,631.125

What is number system?

A number system is defined as a system of writing to express numbers.

First, the number between 8,500 and 8,800.

So, the thousands place digit is 8.

Second, When multiplied by 8, the result is a whole number.

So, multiplying by 8, the decimal has to end in 5.

Because there is no zeroes in the decimal place..

options are:

8 times 0.5

8 times 0.25

8 times 0.125

Now, The digit in the hundredths place is 200% of the digit in the tenths place

considering digit in the hundreds place is ¾ the digit in the thousands place.

So, choose 0.125.

Now, The digit in the hundreds place is 3/4 the digit in the thousandths place.

Digit in Thousandth Place = 5

Digit in Hundreds place=3/4*2=6

Our number now is:86_ _.125

As, The sum of all the numbers is 26

8+6+1+2+5=22

26-22=4

The possible numbers are:

8,640.125

8,604.125

8,622.125

8,613.12

8,631.125

Learn more about this concept here:

https://brainly.com/question/15441638

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