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Nick and Adam work out together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Right in equation that can be used to find the number of weeks that It will take them to weigh the same amount.

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frika

Answer:

[tex]160+3x=195-2x[/tex]

Needed 7 weeks

Step-by-step explanation:

Let x be the number of weeks.

Nick

  • weighs 160 pounds;
  • is gaining about 3 pounds per week;
  • gains 3x pounds in x weeks;
  • weighs 160 + 3x pounds after x weeks.

Adam

  • weighs 195 pounds;
  • is losing about 2 pounds per week;
  • loses 2x pounds in x weeks;
  • weighs 195 - 2x pounds in x weeks.

The equation that can be used to find the number of weeks that it will take them to weigh the same amount is

[tex]160+3x=195-2x[/tex]

Solve this equation:

[tex]3x+2x=195-160\\ \\2x=35\\ \\x=7[/tex]