Question

On her math test, Anna is asked to write an inequality that fits the following situation:

The library is having a contest to guess the number of candy pieces in a jar. Johns guess of three times the number of candy pieces in the jar increased by 100 is a lower number than Keisha’s guess of 250 less than twice the number of candy pieces.

Anna writes the inequality 3x+100<250-2x which is incorrect

Can you find Anna’s mistake? What is the correct way to write this inequality?

Answer 1

3x+250-100×2x = 24.5x to 2nd power.

Got this same question earlier in the year.

Answer 2

Yes, I can find Anna's mistake.She writes 250-2x instead 2x-250 and correct inequality

`3x+100 < 2x-250`

Explanation:

Let x be the number of candy pieces.

Three times the number of candy pieces=
`3x`

John guess a number =
`3x+100`

Twice the number of candy pieces=
`2x`

Keisha guess a number=
`2x-250`

We have to find Anna's mistake and write correct inequality

According to question

`3x+100 < 2x-250`

But Anna writes the inequality

`3x+100 < 250 -2x`

Yes, I can find Anna's mistake. She writes 250-2x instead of 2x-250 and correct inequality

`3x+100 < 2x-250`