a c-shaped tile (2 in the top row, 1 on the second, 2 on the bottom) can be placed on a number chart so that the sum of the numbers covered is 29. show how this can be done
Let the upper left be at n. Then the tiles add up to
n + (n+1) + (n+10) + (n+20) + (n+21) = 29
5n+52 = 29
Evidently I misunderstand the number chart. I figured it was a grid of numbers, 10 per row.
lets say you have a 100 number chart you put the c shaped tile on it the numbers that are covered add up to 29 the closest i have got is 28 or 30
To solve this problem, let's first understand the number chart and how we can place the C-shaped tile on it.
The number chart should look something like this:
```
1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18
19 20 21 22 23 24 25 26 27
```
Now, let's place the C-shaped tile on the number chart such that the sum of the covered numbers is 29.
We need to find two numbers that sum up to 29 and that are adjacent to each other. Looking at the number chart, we observe that 14 and 15 are adjacent and sum up to 29.
So, we can place the C-shaped tile as follows:
```
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X X X X X X X X
X X 14 15 X X X X
```
In this arrangement, the C-shaped tile covers the numbers 14 and 15, which sum up to 29.
Thus, we have successfully placed the C-shaped tile on the number chart such that the sum of the covered numbers is 29.