Question 899334
Derek sold walking sticks. Had he charged $10 extra for each stick he would have made $1,800. However, had he sold 10 more sticks at the original price he would have made $2,000. 
a) How many sticks did he sell?
b) How much was each stick?

let number of walking sticks sold be x
and price of walking stick =y

(y+10)*x=1800

(x+10)*y = 2000

x=1800/y

((1800/(y+10)) +10)*y = 2000

(1800+10y+100)*y/(y+10)=2000

1800y+10y^2+100y=2000y+20000

10y^2-100y-20000=0

/10
y^2-10y-2000=0

y^2-50y+40y-2000=0

y(y-50)+40(y-50)=0

(y-50)(y+40) = 0
y= 50 the positive value the price of the stick

plug y to get x

x= 30 number of sticks