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

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NetherFury NetherFury · Answer 1 · 2018-11-04T03:21:08+01:00

Answer:

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

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-21T19:30:03+02:00

Answer: Ilya have 60 more hats than Dan.

Step-by-step 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 [tex]: 7x+5x=360[/tex]

Simplify, [tex]12x=360[/tex]

Divide bothe sides by 12 , we get

[tex]x=30[/tex]

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.

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