Joyce had some money. she bought a dress, a shirt and a watch. she spent 1/5 of her money on a shirt. the shirt cost $24 less than a dress. the watch cost $102. she was left with 1/4 of the amount of money she had at first. how much money did joyce have at first?
me !

How much money did Joyce have at first? = x

The shirt = s

The dress = d

The watch = w

                                                              s = x / 5             +

                                      d =s+24 > d = x/5 +24

                                                             w = 102

                                                  s + d +w = x / 5 + x / 5 + 24 + 102

                                                  s + d +w = 2x / 5 + 126

She was left with 1/4 of the amount of money she had at first:  x -  (s + d +w) = x/4  

                                                   x -  (s + d +w)  = x/4

                                              x  -  (2x / 5 + 126) = x/4

                                                 x  -  2x / 5 - 126 = x/4

                                                  x  -  2x / 5 - x/4 = 126

                                                       x(1- 2/5 -1/4) = 126

                                                               x(7/20) = 126

                                                                          x = 126(20/7)

                                                        Ans.           x=360

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.