Problema Solution
Ilya and Dan shared 260 hats in the ratio 8:5. How many more hats did Ilya have than Dan?
Answer provided by our tutors
Let
x = the number of hats Ilya had
y = the number of hats that Dan had
Since the total number of hats shred is 260 we have:
x + y = 260
The ratio is 8:5 means:
x : y = 8 : 5 cross multiply
5x = 8y
5x - 8y = 0
We have the following system of equations:
x + y = 260
5x - 8y = 0
........
click here to see the system of equations solved for x and y
........
x = 160 hats
y = 100 hats
x - y = 160 - 100 = 60
Ilya had 60 hats more than Dan.