Question

Tim has some marbles.

Sue has twice as many marbles as Tim.
Jim has 15 marbles.
Tim, Sue and Jim have a total of 63 marbles.
How many marbles does Tim have?

Answer 1

To find out how many marbles Tim has, the equation T + 2T + 15 = 63 is set up and solved, leading to the conclusion that Tim has 16 marbles.

Step-by-step explanation:

To solve this problem, we'll set up an equation based on the information given about Tim, Sue, and Jim's marbles. Let's denote the number of marbles Tim has as T. According to the problem, Sue has twice as many marbles as Tim, which can be expressed as 2T. Jim has 15 marbles, which is a fixed amount. The total number of marbles they have together is 63.

Accordingly, the equation representing the total number of marbles is:

T + 2T + 15 = 63

Combining like terms, we get:

3T + 15 = 63

To find T, we'll subtract 15 from both sides of the equation:

3T = 63 - 15

3T = 48

Finally, divide both sides of the equation by 3 to get the value of T:

T = 48 / 3

T = 16

Therefore, Tim has 16 marbles.

Answer 2

We can solve this by setting up an equation. I am setting the amount of marbles that tim has as T. Because Sue has twice as many marbles as Tim, she will have 2T marbles. We do not need a variable for Jim, because he has 15 marbles. Now, we can set up this equation:

T + 2T + 15 = 63

Now, we can solve for T. First, we subtract 15 from both sides.

T + 2T = 48

Next, we combine all the T terms.

3T = 48

Finally, we divide both sides to find how many marbles Tim has.

T = 16

So, Tim has 16 marbles.