At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Given:

The system of equations that represent the constraints for the given situation is

To find:

The solution of given system of equations.

Solution:

We have,

          ...(i)

          ...(ii)

Multiply equation (i) by 4.

          ...(iii)

Subtracting (iii) from (ii), we get

Divide both sides by 12.90.

Put this value in (i).

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

honesty mood

step-by-step explanation:

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²