Question

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

Answer 1

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

Answer 2

Answer: Ilya have 60 more hats than Dan.

Explanation:

Given : Ilya and Dan shared 360 hats in the ratio 7:5.

Let the number of hats Ilya be 7x and the number of hats dan has be 5x.

Total hats
`: 7x+5x=360`

Simplify,
`12x=360`

Divide bothe sides by 12 , we get

`x=30`

Number of hats Ilya has = 7(30)=210

Number of hats Dan has =5(30)=150

Difference= 210-150=60

Hence, Ilya have 60 more hats than Dan.