Question

Elsa works at the China emporium on saturdays packing dishes for shipment. She receives 12 cents for each piece she packs successfully and is fined 18 cents for each price she breaks. If she handles 188 pieces and is paid $20.16 , she must have broken 8 peices

Answer 1

this would be true in a true or false statement

Explanation:

Answer 2

Elsa broke 8 pieces.

Explanation:

Let x be the number of pieces she handles successfully and y be the number of pieces she breaks.

She handles 188 pieces in total so:

`x + y = 188`

She gains 0.12 dollars (12 cents) for each dish she packs successfully and fined 0.18 dollars (18 cents) for each dish she breaks.

So she gains 0.12x and loses 0.18y, and gains 20.16 dollars. So 0.12x - 0.18y = 20.16.

`0.12(188-y) - 0.18y = 20.16`

`22.56 - 0.12y - 0.18y = 20.16`

`22.56 - 0.30y = 20.16`

`-0.30y = -2.40`

`y=8`

Therefore, Elsa broke 8 pieces.