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

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In summary, the total number of marbles Ahmad and Weiming have is 2x-40 or 2(x-20). If Ahmad has 55 marbles, the total number of marbles they have altogether is 70.
  • #1
Johnx1
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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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  • #2
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)
 
  • #3
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.
 
  • #4
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:

\(\displaystyle T=x+x-40=2x-40=2(x-20)\)

And so if Ahmad has 55 marbles, we find:

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

Sorry for the confusion! :)
 
  • #5
No worries and thank you.
 

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

1. How do you find the total number of marbles?

To find the total number of marbles, you need to add the number of marbles that Ahmad and Weiming have. This can be represented as x + x or 2x, where x is the number of marbles each person has.

2. What does "in terms of x" mean?

"In terms of x" means that the total number of marbles is being expressed in relation to the variable x. This means that the number of marbles can vary depending on the value of x.

3. Can the total number of marbles be negative?

No, the total number of marbles cannot be negative. Marbles are physical objects and cannot have a negative quantity. If the variable x is negative, the total number of marbles would still be positive.

4. Can you find the total number of marbles if the values of x are given?

Yes, if the values of x are given, you can find the total number of marbles. Simply substitute the value of x into the equation x + x or 2x to find the total number of marbles.

5. Is the total number of marbles always an integer?

No, the total number of marbles does not always have to be an integer. If the value of x is a fraction or a decimal, the total number of marbles will also be a fraction or a decimal. However, if the value of x is a whole number, the total number of marbles will also be a whole number.

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