If m^2 − n^2 = 117, where m and n are prime numbers, find m and n.
2 answers:
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Answer:
Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.
Step-by-step explanation:
Given:
Number of Miles for Mrs Allan car = 224 miles
Number of gallons of gas required = 8
We need to find the number of gallons of gas required for 560 miles for Mrs. Allan's car.
First we will find, in 1 gallons how many miles does Mrs Allan's Car drives.
For 8 gallons = 224 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 28 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Also Given:
Number of Miles for Mrs Owen's car = 210 miles
Number of gallons of gas required = 6
We need to find the number of gallons of gas required for 560 miles for Mrs. Owen's car.
First we will find, in 1 gallons how many miles does Mrs Owen's Car drives.
For 6 gallons = 210 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 35 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.
% means out of 100 so If its 6% that = .06 then just multiply
