Walter's Weird Wages

Question

Walter earns $3.33 a day that he doesn't work well. When he does a good job, he earns 1/3 percent more per day. During a ten day period, he earned $36.63. How many days did he work well?

Answer 1

If you mean that he earns 1/3 more pay per day on good days

then we have...

 

Good days pay = 3.33+(1/3)3.33=$4.44 on good days

On regular days he still earns $3.33

 

Let G=# good days

Let R=# regular days

 

eqn 1)  G+R=10

eqn 2)  4.44G + 3.33R = 36.63

 

we need to find G.  In equation 1 solve for R = 10-G

 

Substitute 10-G in place of R in eqn 2

 

4.44G + 3.33(10-G) = 36.63

4.44G + 33.3 - 3.33G = 36.63

1.11G = 36.63-33.3

1.11G = 3.33

G = 3.33/1.11=3

 

Walter worked well on 3 days, leaving 7 days where he did not

 

check:  7(3.33) + 3(4.44) = 36.63

           23.31 + 13.32 = 36.63

            36.63 = 36.63

Answer balances and is correct