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
