How much money would Madison make if her "proofreading" money was 20% less than what she was making (remember she used to get $18), if She now only makes 15 cents per error, and this time around, she only finds a ⅓ of the 15 errors she found the first time?

Respuesta :

Step-by-step explanation:

Part (a):

Since new payment amount is 20% less than the original, we can write

New Earning = N[tex]_1[/tex] = $18 - (20%) ($18)

N[tex]_1[/tex]  = (80%)($18)

N[tex]_1[/tex]  = 0.8 * 18

N[tex]_1[/tex]  = $14.4

Part (b):

New number of errors are one-third ([tex]\frac{1}{3}[/tex]) of the initial 15 errors,

Therefore, new number of errors = E = [tex]15\;*\;\frac{1}{3}[/tex]

E = [tex]\frac{15}{3}[/tex]

E = 5

It is given that, earnings per error = n = 15 cents = $0.15

Thus, we can calculate the total earnings for new number of errors as follows,

New Total Earning = N[tex]_2[/tex] = n * E

N[tex]_2[/tex] = 0.15 * 5

N[tex]_2[/tex] = $0.75