Solve the problem.
-Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $\$ 120$ for 3 days and 300 miles, while Mary was charged $\$ 223$ for 5 days and 600 miles. What does Best Rental charge per day and per mile?
A) $\$ 23$ per day and $ ?17 $ per mile
B) $\$ 16$ per day and $ ?24$ per mile
C) $\$ 18$ per day and $ ?24 $ per mile
D) $\$ 17$ per day and $ ?23 $ per mile

Question

Quizplus · Accepted Answer

Let $d$ be the daily charge and $m$ be the mileage charge. From the given information, we can set up two equations based on Barney and Mary's charges:1. For Barney: $3d + 300m = 120$2. For Mary: $5d + 600m = 223$Solving these equations simultaneously, we can find the values of $d$ and $m$. Multiplying the first equation by 2 gives us $6d + 600m = 240$, and subtracting the second equation from this result gives $d = 17$. Substituting $d = 17$ into the first equation gives $m = 0.23$, or 23 cents per mile. Therefore, Best Rental charges $17 per day and 23 cents per mile.

Solve the Problem $120\$ 120$120 For 3 Days and 300 Miles, While Mary Was Charged

Solve the Problem $\$ 120$ For 3 Days and 300 Miles, While Mary Was Charged