Question

Alex is on a diet to lose weight. He is losing at the rate of 2 pounds per week. After 6 weeks he weighs 205. Write and solve a linear equation to find how many weeks it will take Alex to reach his target weight of 175 pounds

Answer 1

It would take Alex 21 weeks to reach his target.

Step-by-step explanation:

Given,

Weight lost per week = 2 pounds

Weight lost in 6 weeks = 2*6 = 12 pounds

Weight after 6 weeks - 205 pounds  

We will add this amount in his weight after 6 weeks to find his original weight.

Original weight = 205 + 12 = 217 pounds

Target weight = 175 pounds

Let,

x be the number of weeks to reach his goal.

Original weight - Weight loss per week*Number of weeks = Target weight

$217-2x=175 \\217-175=2x\\42=2x\\2x=42$

Dividing both sides by 2

$\frac{2x}{2}=\frac{42}{2}\\x=21$

It would take Alex 21 weeks to reach his target.

Keywords: linear equation, division

Learn more about linear equations at:

• brainly.com/question/10764770
• brainly.com/question/1087090

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