In an adventure game, you can open the door to a treasure room if you have the correct key. The number of the correct key is divisible by 3 and 4, but not 5. Which color key will open the door?
5 colored keys hang on hooks in a row. Each is a different color and labeled with a different number. The information is as follows: red, 413,270; orange, 267,528; purple, 326,340; green, 135,480; blue, 640,905.
Go back and study the answers that Scott and I gave you.
https://www.jiskha.com/display.cgi?id=1505333196
now i got it thx
You're welcome. :-)
To find the color key that will open the door, we need to identify the key that meets the given conditions: it must be divisible by 3 and 4, but not 5.
To determine if a number is divisible by another number, we use the modulus operator (%). If the result of dividing the number by another number is 0, then it is divisible.
First, let's check each key to see if they are divisible by 3:
- red key: 413 % 3 = 2 (not divisible by 3)
- orange key: 267 % 3 = 0 (divisible by 3)
- purple key: 326 % 3 = 2 (not divisible by 3)
- green key: 135 % 3 = 0 (divisible by 3)
- blue key: 640 % 3 = 2 (not divisible by 3)
We can see that the orange and green keys are divisible by 3.
Next, let's check if these keys are divisible by 4:
- orange key: 267 % 4 = 3 (not divisible by 4)
- green key: 135 % 4 = 3 (not divisible by 4)
Neither the orange nor green keys are divisible by 4.
Therefore, we do not have a key that meets both conditions: being divisible by 3 and 4. Therefore, we cannot determine the color key that will open the door based on the information provided.