Ilya and Dan shared 260 hats in the ratio 8:5. How many more hats did Ilya have than Dan?
8x + 5x = 260
find x, and then the amounts are 8x and 5x. Subtract to get your answer.
13x/13 =1213
What the heck larry
To find out how many more hats Ilya had than Dan, we first need to determine the number of hats each person received based on the given ratio.
We know that the ratio of Ilya to Dan is 8:5. This means that for every 8 hats Ilya received, Dan received 5 hats.
Let's assume that the number of hats Ilya received is 8x and the number of hats Dan received is 5x.
According to the given information, the total number of hats shared is 260. So, we can set up an equation:
8x + 5x = 260
Combining like terms, we get:
13x = 260
To solve for x, we divide both sides of the equation by 13:
x = 260/13
x = 20
Now, we can calculate the number of hats Ilya received:
8x = 8 * 20 = 160
And the number of hats Dan received:
5x = 5 * 20 = 100
Finally, to determine how many more hats Ilya had than Dan, we subtract the number of hats Dan received from the number of hats Ilya received:
160 - 100 = 60
Therefore, Ilya had 60 more hats than Dan.
20*8-20*5=80
20*8-20*5 = 20(8-5) = 60
13x/13=260/13
x=20