vince weighs 160 pounds, and his friend nadir weighs 140 pounds. nadir calculated that his weight on another…

vince weighs 160 pounds, and his friend nadir weighs 140 pounds. nadir calculated that his weight on another planet would be about 56 lb. approximately what would vince weigh on the other planet? 40 lb 64 lb 76 lb 90 lb

vince weighs 160 pounds, and his friend nadir weighs 140 pounds. nadir calculated that his weight on another planet would be about 56 lb. approximately what would vince weigh on the other planet? 40 lb 64 lb 76 lb 90 lb

Answer

Explanation:

Step1: Set up proportion

Let $x$ be Vince's weight on the other planet. The ratio of weights on Earth should be equal to the ratio of weights on the other planet. So we have $\frac{Vince's\ Earth\ weight}{Nadir's\ Earth\ weight}=\frac{Vince's\ other - planet\ weight}{Nadir's\ other - planet\ weight}$, or $\frac{160}{140}=\frac{x}{56}$.

Step2: Cross - multiply

$140x = 160\times56$.

Step3: Solve for $x$

$x=\frac{160\times56}{140}=\frac{160\times56}{140}=\frac{160\times4}{10} = 64$.

Answer:

B. 64 lb