Question

The ratio of the number of newspapers Joshua sold to the number of newspapers Ron sold was 5:3. After Ron sold 28 more newspapers in the evening, the ratio became 10:13. How many newspapers did Joshua sell?

Answer 1

Joshua sold 30 newspapers.

Step-by-step explanation:

Let's assume that Joshua sold x newspapers and Ron sold y newspapers.

According to the given ratio, x:y = 5:3.

After Ron sold 28 more newspapers in the evening, the ratio becomes x:(y+28) = 10:13.

Using the first ratio, we can write the equation: 5/3 = x/y.

Using the second ratio, we can write the equation: 10/13 = x/(y+28).

Now, we can solve these equations to find the values of x and y. Multiplying the first equation by 10 and the second equation by 5, we have:

• 10/3 = (10/13) * x
• 50/13 = (5/3) * x

Simplifying these equations, we get:

• x = 30

Therefore, Joshua sold 30 newspapers.