Math Problem Statement
Which of these numbers added together equal 2819.11? 101 101 101 101 116 116 104.03 119.48 164.80 149.35 164.80 164.80 160 145 145 145 145 145 145 145 145 145 145 145 145 145 145 164.80 164.80
Solution
To find out which numbers add up to 2819.11, I’ll start by adding the numbers you provided and see if any combination totals 2819.11.
Here are the numbers:
- 101 (x4) = 101 + 101 + 101 + 101 = 404
- 116 (x2) = 116 + 116 = 232
- 104.03
- 119.48
- 164.80 (x6) = 164.80 + 164.80 + 164.80 + 164.80 + 164.80 + 164.80 = 988.80
- 149.35
- 160
- 145 (x12) = 145 * 12 = 1740
- 164.80 (x2) = 164.80 + 164.80 = 329.60
Now, I will calculate the total sum of all the numbers:
The sum of all the numbers is 5127.26, which is greater than 2819.11. I will now try different combinations to find a sum that matches 2819.11.
Let me break down this search.Let's try to find combinations that will sum up to 2819.11. I’ll focus on selecting different groupings and adjusting them. Here's a process where I check smaller combinations:
Trying a potential combination:
- 101 (x4) = 404
- 116 (x2) = 232
- 104.03
- 119.48
- 164.80 (x4) = 659.20
- 149.35
- 160
- 145 (x5) = 725
Let's now add these numbers:
This is still below 2819.11, so I need to add a bit more.
Trying to add the remaining values:
If I add:
- Another 164.80
- Another 145
This gives:
This is really close, but slightly over. I’ll adjust further:
Trying another configuration:
- 101 (x4) = 404
- 116 (x2) = 232
- 104.03
- 119.48
- 164.80 (x5) = 824
- 149.35
- 160
- 145 (x6) = 870
It's still slightly over 2819.11. I’ll keep adjusting by removing combinations. Would you like me to keep experimenting with specific combinations, or focus on certain values you want to add?
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Math Problem Analysis
Mathematical Concepts
Addition
Combinatorics
Number Theory
Formulas
Addition of integers
Combination sum problem
Theorems
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Suitable Grade Level
Grades 6-8
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