Wagons and cranes

The same cranes are unloading 96 wagons.
There would be fewer wagons for each crane if there were two more cranes.
How many cranes were there?

Correct answer:

n =  4

Step-by-step explanation:

nv=96 (n+2)(v8)=96 nv+2v8n16=96 96+2 96/n8n16=96 2968n216n=0  2 968n216n=0 8n216n+192=0 8n2+16n192=0  a=8;b=16;c=192 D=b24ac=16248(192)=6400 D>0  n1,2=2ab±D=1616±6400 n1,2=1616±80 n1,2=1±5 n1=4 n2=6   Factored form of the equation:  8(n4)(n+6)=0 n>0 n=n1=4 v1=96/n=96/4=24 v2=96/(n+2)=96/(4+2)=16 n=4

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