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KIM [24]
3 years ago
13

Nick and Adam work out together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is lo

sing 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.
Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

160+3x=195-2x

Needed 7 weeks

Step-by-step explanation:

Let x be the number of weeks.

<u>Nick</u>

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

<u>Adam</u>

  • 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

160+3x=195-2x

Solve this equation:

3x+2x=195-160\\ \\2x=35\\ \\x=7

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