Bill weighs 150 lbs. He wants to gain 2 lbs per week for football season. Jamal runs track. He wants to lose weight so he can run faster. Jamal weighs 195 lbs and wants to lose 1 lb per week. How many weeks will it take before both of them are the same weight?
A.15***
B.45
C.115
D.345
I am confused But Believe "A" is the answer
you want to create 2 equations and set them equal.
150+2w=195-1w
isolate variable
150+2w=195-1w
-150 +1w
3w= 45
divide both sides by 3
3w/3=45/3
the 3's on the left cancel out, and the one on the right simplifies to 15
w=15
(you are correct)
I figured it out!
To find out how many weeks it will take before Bill and Jamal are the same weight, we can set up an equation based on their respective weight goals.
Let's assume x represents the number of weeks it takes for them to reach the same weight.
For Bill:
Weight gain per week = 2 lbs
Initial weight = 150 lbs
Weight after x weeks = 150 + 2x
For Jamal:
Weight loss per week = 1 lb
Initial weight = 195 lbs
Weight after x weeks = 195 - x
To find the number of weeks when they are the same weight, we can set up the following equation:
150 + 2x = 195 - x
Now, let's solve the equation:
150 + 2x + x = 195
3x = 45
x = 45/3
x = 15
Therefore, it will take 15 weeks for Bill and Jamal to be the same weight.
So, the correct answer is A. 15 weeks.
To find the number of weeks it will take for both Bill and Jamal to be the same weight, we can set up a simple equation.
Let's assume x represents the number of weeks it takes for them to be the same weight.
Since Bill wants to gain 2 lbs per week, his weight after x weeks would be: 150 + 2x.
Similarly, since Jamal wants to lose 1 lb per week, his weight after x weeks would be: 195 - x.
To find the number of weeks when they are the same weight, we set up the equation:
150 + 2x = 195 - x
Now, let's solve this equation to find the value of x.
2x + x = 195 - 150
3x = 45
x = 45 / 3
x = 15
Therefore, it will take 15 weeks for both Bill and Jamal to be the same weight.
So you are correct, option A is the correct answer.