Hamadi is renting a car. The rental charge is $\$ 17.50$ per day plus $\$ 0.16$ per mile. Hamadi can spend at most $\$ 33$ for the cost of the car rental. If Hamadi rents the car for one day, which of the following is one possible number of miles Hamadi can drive the rental car?

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Grade 7

GCF and LCM: word problems

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Q. Hamadi is renting a car. The rental charge is

\$ 17.50

per day plus

\$ 0.16

per mile. Hamadi can spend at most

\$ 33

for the cost of the car rental. If Hamadi rents the car for one day, which of the following is one possible number of miles Hamadi can drive the rental car?

Determine Total Cost: Determine the total cost Hamadi can spend on the car rental. $\newline$ Hamadi can spend at most $\$33$ for the car rental.
Calculate Daily Rental: Calculate the cost for renting the car for one day without considering the miles driven. $\newline$ The daily rental charge is $\$17.50$ . $\newline$ So, the cost for one day is $\$17.50$ .
Subtract Daily Charge: Subtract the daily rental charge from the total amount Hamadi can spend to find out how much is left for the mileage charge. $\newline$ Total amount Hamadi can spend: $\$33$ $\newline$ Cost for one day: $\$17.50$ $\newline$ Amount left for mileage: $\$33$ - $\$17.50$ = $\$15.50$
Calculate Miles Allowed: Calculate the number of miles Hamadi can drive with the remaining amount. $\newline$ The charge per mile is $\$0.16$ . $\newline$ Number of miles Hamadi can drive: $\$15.50 / \$0.16$ per mile
Perform Division: Perform the division to find the number of miles. $\newline$ Number of miles = $\$15.50 / \$0.16 = 96.875$ miles $\newline$ Since Hamadi cannot drive a fraction of a mile, we round down to the nearest whole number. $\newline$ Hamadi can drive $96$ miles.