Question

1. a certain store is selling packages of 10 pencils and 4 pens for back to school. the store manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package? (example 4)

Explanation:

Step1: Set up the ratio equation

Let $x$ be the number of pencils in the large - package. The ratio of pencils to pens in the original package is $\frac{10}{4}$. In the large package, the ratio is $\frac{x}{10}$. Since the ratios are the same, we have the equation $\frac{10}{4}=\frac{x}{10}$.

Step2: Cross - multiply

Cross - multiplying gives us $4x = 10\times10$.

Step3: Solve for $x$

$4x=100$, then $x=\frac{100}{4}=25$.

Answer:

25