Question

David has 3 Times as
many pens as Jim.
Rebecca has 4 more pens than Jim.
David has 2 less pens than Rebecca.
How many pens does. Jim have?​

Answer 1

Answer:

DAVID          3j=(j+4)-2

JIM             j

REBECCA        j+4

Answer 2

Answer:

Let's assume that Jim has x number of pens. Then, according to the given information:

1. David has 3 times as many pens as Jim, which means he has 3x pens.
2. Rebecca has 4 more pens than Jim, which means she has x + 4 pens.
3. David has 2 less pens than Rebecca, which means he has x + 4 - 2 = x + 2 pens.

Now, we can set up an equation using the information we have:

Jim's pens (x) + Rebecca's pens (x + 4) = David's pens (3x) + 2

Simplifying this equation, we get:

x + x + 4 = 3x + 2

Solving for x, we get:

2x + 4 = 3x + 2

x = 2

Therefore, Jim has 2 pens.

Step-by-step explanation:

Using this information, we can also find out how many pens the other people have:

1. David has 3 times as many pens as Jim, so he has 3x = 3(2) = 6 pens.
2. Rebecca has 4 more pens than Jim, so she has x + 4 = 2 + 4 = 6 pens.
3. David has 2 less pens than Rebecca, so he has x + 4 - 2 = 6 - 2 = 4 pens.

To summarize, Jim has 2 pens, David has 6 pens, and Rebecca has 6 pens as well.

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