Four student government officers want to go to the state convention. It will cost them $100 for registration, $360 for transportation and food, and $50 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?

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AmiR233950 AmiR233950 · Answer 1 · 2022-11-04T00:54:03+01:00

ANSWER:

30 cars

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the total cost for 4 people, like this:

[tex]100+360+50\cdot4=660[/tex]

Now, we must subtract the budgeted value, to know the amount they need to complete the total cost of the trip, like this:

[tex]660-485=175[/tex]

The four students decided to earn the additional amount by washing cars.

They charge $6 for each car wash. Therefore, the number of cars to get $175 would be:

[tex]\begin{gathered} c=\frac{175}{6}=29.17 \\ c\approx30\text{ cars} \end{gathered}[/tex]

Because if they wash 29 cars, they will not be able to reach the necessary amount, they must wash at least 30 cars