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

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

Step2: Cross - multiply

Cross - multiplying gives us $4x = 10\times10$. So, $4x=100$.

Step3: Solve for $x$

Dividing both sides of the equation $4x = 100$ by 4, we get $x=\frac{100}{4}=25$.

Answer:

25