Question

In a coconut grove$(x+2)$ trees yield $60$ nuts per year, $x$ trees yield $120$ nuts per year and $(x-2)$ trees yield $180$ nuts per year.If the average yield per year per tree be $100$ then find x.

• A. $4$
• B. $3$
• C. $2$
• D. $1$

Answer 1

The correct option is A $4$

$\frac{(x+2)\times 60+x\times 120+(x-2)\times 180}{x+2+x+x-2}=100$
$\frac{60x+120+120x+180x-360}{3x}=100$
$360x-240=300x$
$60x=240$
$x=4$