heres the question... A salesman rented a car that got 35 miles per gallon. He paid $19.50 a day for the car plus $0.26 per mile. He rented the car for 1 day and paid $39. How many miles did he travel?
2006-11-20 15:21:34 · 9 answers · asked by Smily 1 in Science & Mathematics ➔ Mathematics
1.Rental per day: $19.50, let’s call this “Rd”
2.Charge per mile traveled: $0.26, let’s call this “Cm”
3.Total payment: $39.00; let’s call this “Pt”
4.Total miles traveled: “X”
So, the equation should be: Total charges ($39) minus the Charge per day (19.50) and the difference dived by the charge per mile.
That is: X = (Pt – Rd) / Cm
Therefore, X = (39.00 – 19.50) / 0.26
Which is: X = 19.50 / 0.26 = 75
So the driver put seventy-five miles in one day.
2006-11-20 17:14:40 · answer #1 · answered by Nikolas S 6 · 0⤊ 1⤋
Cost for a day = $19.50
Amount to be paid for each mile = $0.26
Amount paid = $39
Amount spent on the miles travelled = $39 - $19.50
= $19.50
Let the number of miles be 'x'
0.26x = 19.50
x = 19.50/0.26
x = 75
He traveled 75 miles that day
2006-11-21 02:18:05 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 2⤋
The fuel economy is a red herring.
p=19.50+.26m=39
.26m=19.50
m=19.50=26=75
he drove 75 miles
2006-11-20 15:31:15 · answer #3 · answered by yupchagee 7 · 2⤊ 0⤋
x = miles traveled
0.26x + $19.50 = $39.00
Solve for x and x = 75 miles
The miles per gallon statement has nothing to do with the actual problem.
2006-11-20 18:01:11 · answer #4 · answered by RR 2 · 0⤊ 1⤋
He pays 19.50 upfront. Let m be the number of miles he goes. He then spends .26 m on miles.
We know that 19.50 + .26m is the total, and this equals 39.
19.50 + .26m = 39
.26m = 19.5
m = 75
So the answer is 75 miles.
We check this to see .26 * 75 = 19.5, and 19.5 + 19.5 = 39.
2006-11-20 15:22:53 · answer #5 · answered by Texas Cowgirl 3 · 1⤊ 0⤋
39 - 19.50 = 19.5
19.5/.26=75
He went 75 miles
2006-11-20 15:25:42 · answer #6 · answered by chica1012 2 · 1⤊ 0⤋
since its 19.50 a day, you subtract 19.50 by 39 and get 19.50. since its .26 cents per gallon , you divide 19.50 by .26 and get 75.
therefore, he traveled 75 miles.
2006-11-20 15:27:37 · answer #7 · answered by M.O.B 3 · 1⤊ 1⤋
m=(39-19.50)/.26
m=19.50/.26
m=75
the 35 miles/ gallon is just there to confuse you.
2006-11-20 15:32:22 · answer #8 · answered by Zorlinda 6 · 1⤊ 0⤋
.26x + 19.5 = 39
.26x = 19.5
x = 75 miles
He traveled 75 miles
2006-11-20 15:30:36 · answer #9 · answered by Sherman81 6 · 1⤊ 1⤋