Ayana is making 6 scarves that each require 114 yards of purple fabric and a certain amount of blue fabric. She will use 10 yards in all. Which equation can be used to determine how many yards of blue fabric, b, are needed for each scarf?.

Respuesta :

each scarf's 0.4166 yards of blue scarf

What is the basic algebraic formula?

This problem can be solved using a straightforward algebraic equation. For each scarf, Ayana requires many yards of blue cloth.

When solving a straightforward equation, visualize the equals symbol (=) as the fulcrum or center of a balance.

What three sorts of equations are there?

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

In order to answer this question, let's say that each scarf needs x square inches of purple fabric and y square inches of blue fabric.

A total of six scarves are reportedly required. It is assumed that a total of 10 yards of fabric—the combined amount of the purple and the blue fabrics—will be utilized.

So that we may solve this equation.

We use x and y as 6x and 6y as 6 scarves are needed.

10 yards of cloth were used in total (6x + 6y).

Next up It goes without saying that 1 yard of purple cloth is required for each and every scarf.

Therefore, a total of 6 * 1(1/4) yards is required for 6 scarves.

As a result, 6x becomes 6 * 1/4 yards.

This equates to 6 yards of purple material

We now solve for the required amount of blue cloth.

6y = 10 -30/4  = 40-30/4 = 10/4

However, the yards are for six scarves, therefore we need to divide it by six to obtain the amount of material for one scarf.

Each scarf needs 0.4166 yards of blue fabric, or y = (10/4)/6 =10/4 *1/6 =10/24 = 5/12 yards.

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