MHB Translation of Sentence Into An Equation

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The sentence "The difference of a number times 8 and 5 is 3" can be translated into the equation 8c - 5 = 3, where c represents the unknown number. To derive this equation, multiply the variable c by 8 and then subtract 5 from the result, setting it equal to 3. Participants in the discussion confirm that this equation is correct and clarify that it can be solved for c if needed. Overall, the focus is on accurately translating the verbal statement into a mathematical equation. The final equation is 8c - 5 = 3.
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Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?
 
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zolton5971 said:
Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?

Starting with $$c$$ - how would you represent multiplying this by 8?

edit: these do seem hard to begin with but get clearer with practice :)
 
Would it be 8c*5=3?

Im struggling with this one!
 
zolton5971 said:
Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?

The difference of a number $a$ and $b$ means that you substract the number $b$ from $a$.

You have a number $c$ times $8$, so you multiply $c$ by $8$ ($8 \cdot c$) and you want to find the difference from this number and $5$ and this difference is equal to $3$.

So you get the following equation:

$$8c-5=3$$
 
Ok thanks so the answer is 8c-5=3? Do I need to simplify it at all?
 
zolton5971 said:
Ok thanks so the answer is 8c-5=3?

Yes! (Smile)

zolton5971 said:
Do I need to simplify it at all?

You could solve for $c$.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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