You won a $100 gift card to purchase music and videos through an online store. you bought $48.40 worth of movies and 40 songs. write an equation that represents your purchase using s to represent the cost of each song.   how much did each song cost?

Equation

Total = movies plus songs.

Givens

Total = 100

Movies = 48.4

Songs Cost = x

Number of Songs = 40

Solve

100 = 48.4 + 40x       Subtract 48.4 from both sides.

100 - 48.4 = 40x

51.6 = 40x                  Divide by 40

51.6 / 40 = x

1.29 = x

Conclusion

Each song cost $1.29

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)