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?

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.