The sum of three consecutive natural numbers is 651, find the numbers.
3*7*31
21*31=651
is what I put for my answer but that was incorrect on the homework. Please help me
Another Question I had problems with was :Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 780. Find the amount of each paycheck.
let a equal the amount of the paycheck
25% of my paycheck is a*25%
coworker=a(a*25%)=a+(a*25%)=a*(25a/100)=a+(a+4)=4a+a/4=5a/4
780a+5a/4=780
4a+5a=3120
9a=3120/9
a=346
Please help
If the numbers are
x-1,x,x+1, then
3x = 651
x = 217
So, the numbers are 216,217,218
Don't know what was all that stuff with factors of 651. Looks like you need to study what "sum" and "consecutive" mean.
The two paychecks are p and .75p. So,
p + .75p = 780
1.75p = 780
p = 445.71
Your paycheck is 25% less, so it is 75% of the other. Once you got your answer, did you check to see whether it worked to satisfy the given conditions? That pseudo-algebra you threw up is meaningless.
Well, it seems like you made a calculation error in both of your answers. Let's go through them again and find the correct solutions.
Question 1:
The sum of three consecutive natural numbers is 651. Let's denote the first number as x. So the numbers will be x, x+1, and x+2.
The equation is: x + (x+1) + (x+2) = 651
Simplifying, we get: 3x + 3 = 651
Subtracting 3 from both sides, we have: 3x = 648
Dividing both sides by 3, we get: x = 216
So the three consecutive numbers are 216, 217, and 218.
Question 2:
Your weekly paycheck is 25 percent less than your coworker's. Let's denote your coworker's paycheck as x. So your paycheck will be (x - 25% of x).
The equation is: x + (x - 0.25x) = 780
Simplifying, we get: x + 0.75x = 780
Combining like terms, we have: 1.75x = 780
Dividing both sides by 1.75, we get: x = 445.71
So your coworker's paycheck is approximately $445.71, and yours will be 25% less than that, which is approximately $334.28.
I hope that clears things up for you! Let me know if you have any more questions or need further assistance.
To solve the problem of finding three consecutive natural numbers that sum up to 651, let's assume the first number is "x".
The next consecutive natural numbers would be "x+1" (second number) and "x+2" (third number).
The sum of these three numbers can be expressed as:
x + (x+1) + (x+2) = 651
Combining like terms, we have:
3x + 3 = 651
Subtracting 3 from both sides:
3x = 651 - 3
3x = 648
Dividing both sides by 3:
x = 648 / 3
x = 216
Therefore, the first number is 216, the second number is 216+1 = 217, and the third number is 216+2 = 218.
So the three consecutive natural numbers that sum up to 651 are 216, 217, and 218.
Regarding your second question, let's assume your weekly paycheck is "a" and your coworker's paycheck is "b".
According to the problem, your weekly paycheck is 25% less than your coworker's. This can be expressed as:
a = b - (25/100)*b
a = b - 0.25b
a = 0.75b
You are also given that the total of your two paychecks is 780. So we can set up another equation:
a + b = 780
Substituting the value of "a" from the first equation into the second equation:
0.75b + b = 780
1.75b = 780
Dividing both sides by 1.75:
b = 780 / 1.75
b = 445.71 (approximately)
Now, substitute the value of "b" back into the first equation to find "a":
a = 0.75b
a = 0.75 * 445.71
a = 334.28 (approximately)
So, your paycheck is approximately $334.28 and your coworker's paycheck is approximately $445.71.
For the first question:
Let's assume the first number is x. The next consecutive number would be (x + 1), and the one after that would be (x + 2).
The sum of these three numbers is given as 651, so we can set up the equation:
x + (x + 1) + (x + 2) = 651
Now simplify the equation:
3x + 3 = 651
Subtract 3 from both sides:
3x = 648
Divide both sides by 3:
x = 216
So the first number is 216. The next consecutive numbers would be 217 and 218.
For the second question:
Let's assume your coworker's paycheck amount is x. Since your paycheck is 25% less than your coworker's, your paycheck amount would be (x - 0.25x) or 0.75x.
The sum of both paychecks is given as 780, so we can set up the equation:
0.75x + x = 780
Combine like terms:
1.75x = 780
Divide both sides by 1.75:
x = 780/1.75
x ≈ 445.71
So your coworker's paycheck amount is approximately $445.71.
To find your paycheck amount, substitute the value of x into the equation:
Your paycheck = 0.75 * 445.71 ≈ $334.29