Respuesta :
Answer:
The possible numbers are:
8,640.125
8,604.125
8,622.125
8,613.125
8,631.125
Step-by-step explanation:
1st clue: It is in between 8,500 and 8,800
Since it is in between 8500 and 8800, we are sure that the thousands digit is 8.
2nd Clue: When multiplied by 8, the result is a whole number.
For a decimal number to be made a whole number by multiplication, we need to have no zero in the number (satisfying Clue 6).
Since we are multiplying by 8, the decimal has to end in 5.
The possible options are:
8 times 0.5
8 times 0.25
8 times 0.125
From the 5th Clue: The digit in the hundredths place is 200% of the digit in the tenths place
Furthermore, From clue 3, we know there is a thousandth digit, so we choose 0.125.
3rd Clue: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
From the 4th Clue: The sum of all the numbers is 26
8+6+1+2+5=22
26-22=4
The other two numbers sum up to 4.
Since no other rule is given, we have three pairs of numbers that sun up to 4.
2,2 ,4,0 and 3,1.
We try to get different arrangement of these numbers.
The possible numbers are:
8,640.125
8,604.125
8,622.125
8,613.125
8,631.125
The statement "The digit in the HUNDREDTHS place is 3/4 the digit in the THOUSANDTHS place" makes it impossible to have a code that suit the description. It is very likely that it was a typing error from your side.
I used the statement in describing
HUNDREDS AND THOUSANDS PLACES instead.
So that the correct question is:
Use clues to find the code number 1. It is in between 8,500 and 8,800 2. When multiplied by 8, the result is a whole number
3. The digit in the hundreds place is 3/4 the digit in the thousands place 4. The sum of all the numbers is 26 5. The digit in the hundredths place is 200% of the digit in the tenths place
6. There are no zeros in the decimal places
Answer:
The code now is any of the following:
8, 631.125
8, 613.125
8, 622.125
8, 640.125
8, 604.125
Step-by-step explanation:
We have the following information:
- The code is between 8, 500 and 8, 800.
For a start, the code obviously begins with 8. It is the only way it can suit the description.
Let the code be 8, BCD
- The digit in the hundredths place is 3/4 the digit in the thousandths place. "Hundredths, thousandths" implies there is a decimal in the code.
- When multiplied by 8, the result is a whole number.
The decimal part is 1/(8 or 4 or 2)
1/8 = 0.125
1/4 = 0.25
1/2 = 0.5
The code is either of the following:
8, BCD.5
8, BCD.25
8, BCD.125
- The digit in the hundredths place is 200% of the digit in the tenths place.
Tenth place E = 200% of F
We choose
8, BCD.125
Because 2 is 200% of 1, it suits the description.
The digit in the hundreds place is 3/4 the digit in the thousands place. For a start, the code is
8, BCD.125.
Thousands place is 8
3/4 of 8 = 6 = hundreds place.
So the code becomes.
8, 6CD.125
- The sum of all the numbers is 26
8 + 6 + C + D + 1 + 2 + 5 = 26
C + D = 26 - 22 = 4
=> C + D is whatever numbers that sum to 4. We have: 3 + 1, 1 + 3, 2 + 2, 4 + 0, 0 + 4.
The code now becomes any of the following:
8, 631.125
8, 613.125
8, 622.125
8, 640.125
8, 604.125
