Question

Please show work!!!!!!!

Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?

Answer 1

ilya ratio = 7
Dan's ratio= 5
total ratio = 7+5=12
ilya share of hats =

`(7)/(12) * 360 = 210`
dans share of hats =

`(5)/(12) * 360 = 150`
so ilya has 60 more hats than Dan

`210 - 150 = 60`

Answer 2

The simplified ratio is Ilya:Dan:Total = 7:5:12
The non-simplified total is 360, so the ratio would be x:y:360
12•30=360, so you must multiply the other parts of the ratio by 30 in order to find out x and y
7•30=210
5•30=150
So, the ratio is 210:150:360
Ilya had 210 hats, Dan had 150, for a total of 360.
210-150=60
Ilya had 60 more hats than Dan