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?\n40 lb\n64 lb\n76 lb\n90 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?\n40 lb\n64 lb\n76 lb\n90 lb

Answer

Explanation:

Step1: Set up proportion

Let $x$ be Vince's weight on the other planet. The ratio of Nadir's Earth - weight to his weight on the other planet is the same as the ratio of Vince's Earth - weight to his weight on the other planet. So we have the proportion $\frac{140}{56}=\frac{160}{x}$.

Step2: Cross - multiply

$140x = 56\times160$.

Step3: Solve for $x$

First, calculate $56\times160 = 8960$. Then $x=\frac{8960}{140}=64$.

Answer:

B. 64 lb