Question

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.

Answer 1

`160+3x=195-2x`

Needed 7 weeks

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

`160+3x=195-2x`

Solve this equation:

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