Question

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?

Answer 1

The answer is |x-645| = 20.

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Answer 2

Answer:

The equation will be | x - 645 | = 20  

The maximum guess that could win will be 665

Step-by-step explanation:

Given,

The number of beans in a jar has to be guessed within 20 of the actual number

So, the total has to be equal to 20

Therefore,

The required equation to calculate the minimum and maximum number of beans that will win the contest will be :

| x - 645 | = 20  

When we remove the modulus we will get two values :

+ and -

Firstly taking ' + '

x = 20 + 645 = 665

Taking ' - '

x= 20 - 645 = -625

So we have two values of x : 665 and -625

Hence,

The maximum guess that could win will be 665