Answer:
P=1440
Explanation:
"P is 90 more than Q."
P=Q+90
"20% of P is equal to 1/3 of Q."
1/5(P)=(1/3)Q
From the first equation, we have that P=Q+90.
Thus, we can substitute any P's for Q+90's!
The second equation becomes 1/5(Q+90)=(1/3)Q
Distribute the 1/5 and 1/3 to get (1/5)Q+180=(1/3)Q
Subtract 1/5 Q from both sides.
You should get 180= (2/15)Q
Multiply both sides by 15/2 to get 1350=Q.
Given Q, we can easily solve for P.
Remember the first equation- P=Q+90
Then substitute in 1350 for Q.
So we have P=1350+90
Finally, we have P=1440