Question

Suppose Cesar Chavez lead a March with 6,300 people. If the ratio of marchers who were not farmworkers to farmworkers is 4:5, how many of the marchers were farmworkers?

Answer 1

Answer:

3500.

Step-by-step explanation:

We have been given that Cesar Chavez lead a March with 6,300 people. The ratio of marchers who were not farm-workers to farm-workers is 4:5. We are asked to find the number of marchers, who were farm-workers.

First of all, we will find the ratio of farm-workers to total marchers as:

$\frac{\text{Farm-workers}}{\text{Total marchers}}=\frac{\text{Farm-workers}}{\text{Farm-workers+non-farm-workers}}=\frac{5}{4+5}=\frac{5}{9}$

To find the number of marchers, who were farm-workers, we need to find $\frac{5}{9}$ of whole marchers.

$\text{Number of marchers that were farm-workers}=6300\times \frac{5}{9}$

$\text{Number of marchers that were farm-workers}=700\times \frac{5}{1}$

$\text{Number of marchers that were farm-workers}=3500$

Therefore, 3500 marchers were farmers.