Question

a shoe company makes 7 pairs of white shoes for every 4 pairs of black shoes. if it makes 121,000 pairs of white shoes and black shoes combined, how many pairs are white?

Answer 1

To find the number of white shoes produced by the company, we used a ratio to set up an equation, solved for 'x', and then calculated 7 times 'x' to get 77,000 pairs of white shoes.

Step-by-step explanation:

The student asked how many pairs of white shoes are made if a company produces 7 pairs of white shoes for every 4 pairs of black shoes, with a total production of 121,000 pairs of shoes. To solve this, we can set up a ratio comparing the number of white shoes to the total number of shoes.

Let's let the number of white shoe pairs be 7x and the number of black shoe pairs be 4x. The sum of these two products should equal the total production, which is 121,000 pairs. Therefore, the equation is:

7x + 4x = 121,000

Combining like terms, we get:

11x = 121,000

To find x, we divide both sides of the equation by 11:

x = 121,000 / 11

x = 11,000

Now that we know the value of x, we can find the number of white shoes by multiplying x with 7:

7x = 7 * 11,000 = 77,000 pairs of white shoes

Answer 2

there are 7 white shoes