Question

Rob weighs 195 pounds and plans on losing 3 pounds each month.

Nguyen weighs 211 pounds and plans on losing 9 pounds per month
If they stick with their plans, how many months will it take Nguyen to
weigh the same as Rob? Round to the nearest month.

Answer 1

By setting up an algebraic equation comparing the monthly weight loss of Rob and Nguyen, we deduced it will take approximately 2.67 months, which rounds up to 3 months, for Nguyen to weigh the same as Rob.

Step-by-step explanation:

To determine how many months it will take for Nguyen to weigh the same as Rob, we need to set up an equation where the weights are equal after a certain number of months. Let's call the number of months 'm'.

Rob starts at 195 pounds and loses 3 pounds each month. So Rob's weight after 'm' months will be:

Rob's weight = 195 - 3m

Nguyen starts at 211 pounds and loses 9 pounds each month. So Nguyen's weight after 'm' months will be:

Nguyen's weight = 211 - 9m

We want to find the month where both weights are the same, so we can set the equations for Rob's and Nguyen's weights equal to each other:

195 - 3m = 211 - 9m

Adding 9m to both sides and subtracting 195 from both sides, we get:

6m = 16

Dividing both sides by 6, we find:

m = 16/6

m ≈ 2.67

Since we must round to the nearest month, it will take 3 months for Nguyen to weigh the same as Rob.

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