the sum of the distances two hikers walked is 53 miles, and the difference is 25 miles. what are the distances
1 answer:
To solve this problem, you can create a system of equations and solve for each hiker's distance walked.
Hiker 1 distance walked: x
Hiker 2 distance walked: y
Their combined distance walked is 53 miles, thus -
x + y = 53
The difference between miles walked is 25, thus -
x - 25 = y
Let's solve using substitution. To do that, substitute x - 23 into x + y = 53 for y.
x + y = 53
x + (x - 25) = 53
x + x - 25 = 53
2x - 25 = 53
2x = 78
x = 39
To find y, substitute 39 for x into either of the equations.
x + y = 53
39 + y = 53
y = 14
Finally, check all work.
x + y = 53
39 + 14 = 53
53 = 53
x - 25 = y
39 - 25 = 14
14 = 14
Answer:
One hiker walked 39 miles and the other hiker walked 14 miles.
You might be interested in
Answer: A
3(x+2) = 3x+6
Multiply 3 with x and 2.
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
Answer:
y=42-x
x=42-y
Step-by-step explanation:
x=42-y
Subtract y from both sides of the equation
y=42-x
Subtract x from both sides of the equation
If the ratio is 7 to 1, the width of the wing must be 1/7 of the length. So, we just divide 26.7 by 7 to get 3.81 meters.
Answer:
7
Step-by-step explanation: