Crack the Code: Understanding Tuesday's Chicken Production Problem

How is Tuesday's chicken production expressed if it is described as ten less than twice the eggs produced on Monday, where m represents Monday's eggs?

• A. 2m − 10
• B. 2 + m − 10
• C. 2m + 10
• D. 10 − 2m

Answer: (A)

The correct representation of Tuesday's chicken production comes from translating the verbal description into a mathematical expression based on Monday's egg production, represented as \( m \). The term "twice the eggs produced on Monday" means you take \( m \) (the number of eggs from Monday) and multiply it by 2, which gives you \( 2m \). The phrase "ten less than" indicates that we need to subtract 10 from the result we obtained from that multiplication. Therefore, we take \( 2m \) and subtract 10 from it. Putting these pieces together, the expression for Tuesday's chicken production becomes: \[ 2m - 10 \] This aligns perfectly with the first choice. The other choices incorporate different arithmetic operations or do not adhere to the original description accurately, which can lead to confusion about the correct relationship between Monday's egg production and Tuesday's chicken production.

Have you ever come across a word problem that makes you scratch your head? You’re not alone! Let’s delve into a classic example that not only brings some clarity to the sometimes murky waters of algebra but also adds a pinch of fun to chicken math.

Imagine our feathered friends working hard on the farm, producing eggs on Monday. Let’s say the number of eggs they produce is represented by ( m ). Simple, right? Now, if we want to find out how many chickens are producing on Tuesday, here’s where the math magic comes into play. Are you ready?

Check this out: Tuesday’s production is described as “ten less than twice the eggs produced on Monday.” So, what does that look like in terms of equations? Let’s break it down piece by piece.

Firstly, the phrase “twice the eggs” means we need to multiply our Monday egg count, ( m ), by 2. This gives us ( 2m ). Then we hit that little twist when the problem mentions “ten less than.” This brings us to the subtraction part. So, from ( 2m ), we subtract 10 to encapsulate Tuesday’s chicken production.

Voila! We’ve arrived at the equation:

[ 2m - 10 ]

If we're selecting from options A through D, the correct answer is A: ( 2m - 10 ). Other options, like ( 2 + m - 10 ) or ( 10 - 2m ), just don’t quite hit the mark. They twist the mathematical logic and veer off-course, leading to confusion. This subtle dance of language and mathematics can sometimes feel complicated, but don’t let it stress you out!

Understanding how to translate verbal descriptions to mathematical expressions is key. It’s like deciphering a secret code—you’ve just got to know what each term represents. Plus, mastering these skills will not only help you tackle the College Math Placement Test but also come in handy in real-world scenarios.

So next time you face a tricky word problem, remember our chicken! You’ve got this! Translations like these aren't just exercises; they're stepping stones to greater confidence in mathematics. Enjoy the ride and embrace the numbers!