Margie's car can go 32 miles on a gallon of gas, and the gas costs 4 per gallon. How many miles can margie drive on $20 worth of gas
- print Print
- list Cite
Expert Answers
calendarEducator since 2015
write54 answers
starTop subjects are Math, Science, and Social Sciences
First, list out the points we have to solve.
1. For $4 she gets 1 gallon of gas, then for $20 how many gallons of gas can she get?
2. With 1 gallon of gas she can travel 32 miles, then how many miles can she travel with the gas worth of $20?
Now lets solve
1. $4 - 1 gallon
$20 - `x` gallons
by cross-multiplication we get, `4x = 20`
`=gt x = 20/4 = 5 gallons `
2. 1 gallon - 32 miles
5 gallons - `y` miles
again by cross-multiplication, we get `1y = 32 X 5 = 160miles`
`therefore` she can travel 160 miles with the gas worth $20.
Related Questions
- A car averages 27 miles per gallon. If gas costs $4.04 per gallon.how much the gas would cost for...
- 1 Educator Answer
- The cost to rent a car is $19.50 plus $.25 per mile. If you have $44.00 to rent a car, what is...
- 1 Educator Answer
- Two cars are driving towards each other from towns that are 150 miles apart. The first car is...
- 1 Educator Answer
- If a truck travels 418 miles on 21 gallons of gas, how many miles per gallon does it average (to...
- 1 Educator Answer
- Justin drove miles using gallons of gas. At this rate, how many miles would he drive using...
- 1 Educator Answer
calendarEducator since 2014
write415 answers
starTop subjects are Math, Literature, and Science
For this type of word problem, the given conditions can act as conversion factor or ratio.
Let us list the given conditions:
Condition 1: 32 miles on a gallon of gas.
As conversion factor: 32 miles = 1 gallon gas
32 miles 1 gallon gas
As ratio: --------------- or ----------------------
1 gallon gas 32 miles
Condition 2: Gas costs 4 per gallon of gas.
As conversion factor: $ 4 = 1 gallon gas
$ 4 1 gallon gas
As ratio: --------------- or ----------------------
1 gallon gas $ 4
Given: $20 worth of gas.
We can use conversion table to convert $20 = ? miles
using the given conversion factor or ratios. The units will serve as a guide
on how the conversion factors/ratios will be plug-in the table.
In the conversion table, same units should be on the opposite sides to cancel out.
$20 | 1 gallon gas | 32 miles |
|---------------------| ---------------| = 160 miles.
| $ 4 | 1 gallon gas|
Note: The $ and gallon gas units can be cancelled out and we will be left with the unit of "miles".
Answer: Margie can drive her car a distance of 160 miles to consume the $20 worth of gas.
calendarEducator since 2015
write163 answers
starTop subjects are Science, Math, and Social Sciences
First, let's summarize what we know.
- Gas costs $4 per gallon.
- Margie's gas mileage is 32 miles per gallon.
- Margie bought $20 dollars of gas.
There are two sub-steps to answer this question. First, we must calculate how many gallons of gas Margie purchased for #20. Then we can calculate how many miles Margie can drive.
For the first part, we divide the amount spent by the price of gas to find the amount of gas purchased.
20 dollars / 4 dollars per gallon = 5 gallons of gas.
Now, we can simply multiply Margie's gas mileage by the amount of gas in her tank.
32 miles per gallon x 5 gallons = 160 miles.
Thus, Margie can drive 160 miles on five gallons ($20 dollars worth) of gas.
First, determine how many gallons of gas is $20 worth. Since gas costs $4 a gallon we can compute the following:
$20/$4 per gallon = 5 gallons
Now that you know how many gallons of gas she was able to purchase. Margie's car is able to travel 32 miles per gallon of gas, so compute the following:
32 miles per gallon x 5 gallons = 160 miles
Margie is able to travel 160 miles with $20 worth of gas.
First, find out how many gallons of gas Margie can buy.
`($20)/(($4)/(gal)) =` 5 Gallons
Therefore, if she can afford 5 gallons, and each gallon provides enough energy for 32 miles, then we can multiply
`5*32= 160`
Therefore, Margie can drive 160 miles with $20 of gas.
Student Answers