MHB Find the total number of marbles that Ahmad and Weiming have in terms of x.

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Ahmad has x marbles, which is 40 more than Weiming, meaning Weiming has x - 40 marbles. The total number of marbles they have is expressed as T = 2x - 40. When Ahmad has 55 marbles, the total becomes T = 2(55 - 20) = 70. The confusion arose from misinterpreting the relationship between Ahmad's and Weiming's marbles.
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Ahmad has x marbles. He has 40 more marbles than Weiming

a) Find the total number of marbles that Ahmad and Weiming have in terms of x.

my answer: x + x + 40. So 2x + 40

b) Ahmad has 55 marbles. How many marbles do they have altogether?

my answer: 2(55)+ 40 = 150
 
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Johnx said:
Ahmad has x marbles. He has 40 more marbles than Weiming

a) Find the total number of marbles that Ahmad and Weiming have in terms of x.

my answer: x + x + 40. So 2x + 40

b) Ahmad has 55 marbles. How many marbles do they have altogether?

my answer: 2(55)+ 40 = 150

That looks good! (Yes)
 
Thanks for the reply.

The reason why I asked this question is because there is a different answer.

a) answer: 2x - 40

b) answer: 2 * 55 - 40 - 70I'm not sure why this other answer said to subtract 40.
 
Johnx said:
Thanks for the reply.

The reason why I asked this question is because there is a different answer.

a) answer: 2x - 40

b) answer: 2 * 55 - 40 - 70I'm not sure why this other answer said to subtract 40.

Because we both made the same mistake reading the problem. We are told:

Ahmad has x marbles. He has 40 more marbles than Weiming

This means Weiming has 40 less marbles than Ahmad, which means Weiming has \(x-40\) marbles, and so the total \(T\) is:

$$T=x+x-40=2x-40=2(x-20)$$

And so if Ahmad has 55 marbles, we find:

$$T=2(55-20)=2\cdot35=70$$

Sorry for the confusion! :)
 
No worries and thank you.
 
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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