Rocco’s family is planning a reunion. Family members traveling from out of town have two options for airfare and hotels. As shown in the table, the cost of airfare for Option 2 is 0.75 times the cost of airfare for Option 1. For the same total cost, 12 family members can attend the reunion if they choose Option 2. Only 10 family members can attend if they choose Option 1. What is the cost of airfare for Option 1?

The act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired. See.

We have been given that

For option 1

Airfare = $x

Hotel = $600

For option 2

Airfare = $0.75x

Hotel = $800

Only 10 family members can attend if they choose Option 1.

10x + $600 .........eq 1.

12 family members can attend the reunion if they choose Option 2.

12(0.75)x + $800

9x + $800 ........eq 2.

By using Eq (1) and Eq (2)

10x + $600 = 9x + $800

10x - 9x = $800 - $600

x = $200

Put the value of x in the eq (1)

Then we get 10x + $600

= 10 x 200 + $600

= 2000 + $600

= $2600

Hence , the cost of airfare for Option 1 is $2600.

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