Question

Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room. He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay for the trip?

Answer 1

Answer:

13 hours

Step-by-step explanation:

Number of days Daniel is planning for 6-night road trip

Cost of transportation =$ 310

Cost for food=$ 275

Cost per night for hotel= $70

Total number of nights= 6

Total cost for Hotel= 6×$70= $420

Total cost for a trip= $ 310+ $ 275+420

Total cost for a trip= $1005

Savings of Daniel= $ 745

Total money to be needed= $1005-$745

Total money to be needed= $260

Cost of tutoring= $20

Number of hours he needs to do tutoring=$\frac{260}{20}$

Number of hours he needs to do tutoring=13 hours

Hence, the correct answer is 13 hours

Answer 2

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!