Math Problem Statement
You can fill a 15-gallon tank of gas for $38.03 or buy gas for $2.50/gallon.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The better deal is to fill a 15/ gallon tank for $ 38.03 because the price to fill a 15-gallon tank of gas for $38.03 is how much per gallon. B. The better deal is to buy gas for $ 2.50/gallon because the price to fill a 15-gallon tank of gas for $38.03 is how much per gallon. (Round to the nearest cent as needed.)
Solution
Let's first calculate the price per gallon if you fill a 15-gallon tank for $38.03.
To find the price per gallon, divide the total cost by the number of gallons:
Rounding to the nearest cent, the price per gallon is $2.54.
Now, let's compare the two options:
- Filling the 15-gallon tank for $38.03 results in a price of $2.54 per gallon.
- Buying gas for $2.50 per gallon is obviously cheaper.
So, the better deal is to buy gas for $2.50 per gallon.
The correct choice is:
B. The better deal is to buy gas for $2.50/gallon because the price to fill a 15-gallon tank of gas for $38.03 is $2.54 per gallon.
Would you like more details or have any questions? Here are 5 related questions for further exploration:
- How much money would you save by choosing the cheaper option over 15 gallons?
- If gas prices fluctuate, how do you determine the break-even point between two prices?
- What is the total cost if you buy gas for $2.50 per gallon and need to fill a 20-gallon tank?
- How much would it cost to fill a 15-gallon tank if the price per gallon is $3.10?
- If gas prices increase by 5%, how does that impact the total cost of a 15-gallon refill?
Tip: Always check the per-unit price when comparing deals—small differences can add up over time!
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Math Problem Analysis
Mathematical Concepts
Unit Rates
Division
Formulas
Price per gallon = Total cost / Number of gallons
Theorems
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Suitable Grade Level
Grades 5-7