Simple Algebraic Problem: Help with Soccer Team Trip Problem (arithmetic)

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An easy one but I don't know whether the result is correct (decimals).

A soccer team wants to celebrate their victory and they decide to go on a trip.

  • The team is made up of 20 students
  • The trip is 150$ per person.
  • The room is 50 dollars per night per person.

They all have paid in total 7.350 dollars. How many days have they been on a trip?

How I approached it

Be it x for the days they've been on a trip. Days = x.

20 (150 + 50x) = 7350

20 * 150 + 20*50x = 7350

3000 + 1000x = 7350

1000x = 7350 - 3000

1000x = 4350

x = 4350/1000 = 4,35 days

My issue is with these decimals. You can't possibly express days in a decimal number. Do I just write the result like x = 4, ignoring the decimals or is there something wrong with the way I approached the problem?

Thanks a bunch

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Your approach is fine. As you say, the problem setter should have chosen values that result in a whole number of nights.