Write an equation for the following story: sarah bought 4 puzzles for christmas presents for her friends. she also bought a book for her mom that cost $7. she spent a total of $23. how much did each puzzle cost?

1) Be the number of  puzzles 4x , the cost of a book waas  $7, for a total cost of $23. if  x is the cost of puzzles

then  4x+ 7 = 23⇒4x = 23-7⇒4x= 16⇒x= 16/4 = 4, it means that every puzzles cost $4

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)

nlgqer

step-by-step