To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win? a. |x – 645| = 20; maximum guess: 655 beans. b. |x – 645| = 20; maximum guess: 665 beans. c. |x – 20| = 645; maximum guess: 655 beans. d. |x – 20| = 645; maximum guess: 665 beans
Answer:
|x-645|=20; the maximum guess is 665.
Therefore, Option b is correct.
Step-by-step explanation:
We have given the information that the jar has to be guessed within 20
So, the total has to be equal to 20
Hence, the equation |x-645|=20 is the required equation to calculate the minimum and maximum number of beans that will win the contest
When we will remove the modulus we will get two values + and -
So, x=20+645=665
And x=20-645= -625
Hence, the maximum guess is 665.
Therefore, Option b is correct.