Ilya and Dan shared 260 hats in the ratio 8:5. How many more hats did Ilya have than Dan?
260/13 = 20
8(20) + 5(20) = 260
Can you work it from there?
60
To solve this problem, we first need to find out how many hats each person received.
The ratio given is 8:5, which means that for every 8 hats Ilya receives, Dan receives 5 hats.
To find how many hats Ilya receives, we can divide the total number of hats (260) into 13 parts (8 + 5) based on the ratio.
Each part represents the number of hats corresponding to one count of the ratio.
So, each part is equal to 260 divided by 13, which equals 20.
Now, we can calculate the number of hats each person received by multiplying the respective ratio count by the value of each part.
Ilya received 8 parts of the ratio, so he got 8 * 20 = 160 hats.
Dan received 5 parts of the ratio, so he got 5 * 20 = 100 hats.
To find out 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.