Respuesta :

Answer:

5 days

Step-by-step explanation:

We can use ratios to solve

2 vacation days         x vacations days

------------------------  = ---------------------------

30 days worked            75 days worked

Using cross products

2 * 75 = 30 x

150 = 30x

Divide each side by 30

150/30 = 30x/30

5 =x

Answer: [tex]\Large\boxed{Total~vacation=5~days}[/tex]

Step-by-step explanation:

Given information

2 vacations for every 30 days of work

Total days = 75 days

Find the rate for 1 vacation

30 days / 2 vacation

1 vacation = 30 ÷ 2 = 15 days

Given expression

Total vacation = Total days of work ÷ rate of 1 vacation

Substitute values into the given expression

Total vacation = (75) ÷ (15)

[tex]\Large\boxed{Total~vacation=5~days}[/tex]

Hope this helps!! :)

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