Final answer:
The student has 4 pens and 10 markers. By setting up equations based on the given information and solving them, we have determined the number of each item the student has.
Step-by-step explanation:
Let's denote the number of pens as p and the number of markers as m. According to the problem, the student has six more markers than pens, which gives us the equation m = p + 6. We also know that the total number of pens and markers is 14, leading to the second equation p + m = 14. To find the values of p and m, let's solve these equations step by step.
- Substitute m from the first equation into the second equation: p + (p + 6) = 14.
- Simplify the equation: 2p + 6 = 14.
- Isolate p: 2p = 14 - 6.
- Divide both sides by 2: p = 8 / 2.
- Calculate the value of p: p = 4.
- Now, use the value of p to find m: m = 4 + 6.
- Calculate the value of m: m = 10.
Therefore, the student has 4 pens and 10 markers.