PLEASE HELP.I am sorry. I posted the question wrong earlier this evening.
Instead of 300 it should have read:
3000 exercise books are arranged into 3 piles. The first pile has 10 more number of books than the second pile. The number of books in the second pile is twice the number of books in the third pile. How many books are there in the third pile?
I realize you are not studying algebra but that is the easiest way I know to solve this problem.
Otherwise you have to try different numbers for one pile, compute the required numbers in the other piles, add them up, and see whatever works.
If there are N books in the third pile, there are 2N in the second pile and 2N +10 in the third pile. The total number of books is 5N + 10 and that equals 3000. That means 5N = 2990 and
N = 598 (pile 3)
2N = 1196 (pile 2)
2N + 10 = 1206 (pile 1)
THANKS SO MUCH GIES
No problem, I can help you with that!
To solve this problem, we need to break it down into steps. Let's go through each step one by one:
Step 1: Define the variables
Let's assign variables to the number of books in each pile.
- Let's call the number of books in the first pile F.
- The number of books in the second pile will be S.
- The number of books in the third pile will be T.
Step 2: Translate the given information into equations
Based on the information given in the problem, we can set up the following equations:
Equation 1: "3000 exercise books are arranged into 3 piles."
F + S + T = 3000
Equation 2: "The first pile has 10 more number of books than the second pile."
F = S + 10
Equation 3: "The number of books in the second pile is twice the number of books in the third pile."
S = 2T
Step 3: Solve the equations
Now, we will use the equations to solve for the unknown variables. We can use the substitution method or the elimination method, but in this case, let's use the substitution method.
Substitute Equation 2 and Equation 3 into Equation 1:
(S + 10) + S + 2T = 3000
Simplifying Equation 4:
2S + 2T + 10 = 3000
Subtracting 10 from both sides:
2S + 2T = 2990
Dividing by 2 to simplify the equation:
S + T = 1495
Now, substitute Equation 3 into the equation above:
2T + T = 1495
Simplifying Equation 5:
3T = 1495
Dividing both sides by 3:
T = 499
Therefore, there are 499 books in the third pile.
That's it! The solution to the problem is 499 books in the third pile.