Question

Erica work in a soda-bottling factory. As bottles pass her on a conveyor belt,she puts caps on them. Unfortunately, Erica sometimes break a bottle before she can cap it. She get paid 4 cents for each bottle she successfully caps, but her boss dedicated 2 cents from her pay for each bottle she break.
Erica is having a bad morning. Fifteen bottles have come her way, but she has been breaking some nd has only earned 6 cents so far today. How many bottles has Erica capped and how many has she broken?

Answer 1

The number of bottles Erica capped = 6 bottles

The number of bottles Erica broken = 9 bottles

step-by-step explanation:

step 1 :

Let  'x' be the number of bottles broken  

Then,  the number of bottles capped = Total - broken = 15 - x  

step 2 :

For bottles capped successfully = 4 cents

For bottles broken = -2 cents

step 3 :

The total money Erica earned for 15 bottles is 4(15 - x) - 2x = 6

                                                                             60 - 4x -2x = 6

                                                                              60 - 6x = 6

                                                                                54 = 6x

                                                                                x = 54/6 = 9

∴ bottles broken , x = 9

step 4 :

bottle caped , 15-x = 15 - 9

        bottle caped = 6 bottles

Thus, Erika broke 9 bottles and caped 6 bottles.