### Instruction: Eleven pencils cost as much as three pens. If seven pens cost $\$ 9.24$, what is the cost, in cents, of one pencil?### Response: I want to find the cost of one pencil, but I only have information about pens and pencils in groups.
I need to find a way to relate the cost of one pencil to the cost of one pen, using the given ratios.
I notice that if eleven pencils cost as much as three pens, then one pencil must cost $\frac{1}{11}$ of three pens, or $\frac{3}{11}$ of one pen.
So I can write an equation: $\frac{3}{11} \times \text{cost of one pen} = \text{cost of one pencil}$.
To find the cost of one pen, I can use the fact that seven pens cost $\$ 9.24$.
That means one pen costs $\frac{9.24}{7} = 1.32$ dollars.
Now I can plug that into the equation and solve for the cost of one pencil: $\frac{3}{11} \times 1.32 = \text{cost of one pencil}$.