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

3|x-120|=15

Explanation:

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Answer 2

Answer:
`| x - (15)/(3) | = 120` or
`(1)/(3)| 3 x - 15|= 120` or
`| 3x - 15| = 360` or
`| x - 5 | = 120`

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 - (15)/(3) |`

But, Again according to the question,

The guessed weight is 120 pounds,

Thus,
`| x - (15)/(3)|= 120`

⇒
`(1)/(3)| 3 x - 15|= 120`

⇒
`| 3x - 15|= 3* 120` (by multiplying 3 on both sides)

⇒
`| 3x - 15|= 360`

⇒
`3| x - 5|= 360`

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