Question

At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive \$3$3. A contestant weighing xx pounds received \$15$15 when the operator guessed 120120 pounds. Which of the following equations could be used to solve for the weight of the contestant? Choose 1 answer: 3 | x - 15 | = 120

Answer 1

Answer:   $| x - \frac{15}{3} | = 120$  or $\frac{1}{3}| 3 x - 15|= 120$ or  $| 3x - 15| = 360$ or  $| x - 5 | = 120$

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = $| x - \frac{15}{3} |$

But,  Again according to the question,

The guessed weight is 120 pounds,

Thus, $| x - \frac{15}{3}|= 120$

⇒ $\frac{1}{3}| 3 x - 15|= 120$

⇒  $| 3x - 15|= 3\times 120$ (by multiplying 3 on both sides)

⇒  $| 3x - 15|= 360$

⇒  $3| x - 5|= 360$

⇒  $| x - 5|= 120$  ( On dividing both sides by 3 )

Answer 2

Answer:

3|x-120|=15

Step-by-step explanation:

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