1. **State the problem:** You spent 11 on pencils and pens. Pencils cost 0.25 each, pens cost 2 each, and you bought a total of 30 items.
2. **Define variables:** Let $x$ be the number of pencils and $y$ be the number of pens.
3. **Write the system of equations:**
- Total items: $$x + y = 30$$
- Total cost: $$0.25x + 2y = 11$$
This matches option C.
4. **Solve for the number of pencils:**
From the first equation, express $y$:
$$y = 30 - x$$
Substitute into the cost equation:
$$0.25x + 2(30 - x) = 11$$
5. **Simplify and solve:**
$$0.25x + 60 - 2x = 11$$
$$60 - 1.75x = 11$$
6. **Isolate $x$:**
$$-1.75x = 11 - 60$$
$$-1.75x = -49$$
7. **Divide both sides by -1.75:**
$$x = \frac{-49}{-1.75}$$
Show cancellation:
$$x = \frac{\cancel{-49}}{\cancel{-1.75}} = 28$$
8. **Interpretation:** You bought 28 pencils.
**Final answer:** 28 pencils.
Pencils Pens 1Adb5D
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