Mathematics High School

2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?

Answers

Answer 1

Answer:

Equation: 160 + 3x = 195 - 2x

Solution: 7 weeks

Step-by-step explanation:

x is going to stand for the number of weeks

Nick:

160 + 3x

Adam:

195 - 2x

Equation: 160 + 3x = 195 - 2x

Solution: 7

They would weigh 181 pounds

Answer 2

The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:

160 + 3w = 195 - 2w

To solve for w, we can simplify the equation:

160 + 3w = 195 - 2w

5w = 35

w = 7

To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:

Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds

Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds

Thus,
The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

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