A person who weighs 100 pounds on Earth would weigh
37 7 over 10 pounds on Mars. If m represents a person’s weight in pounds, on Mars, which proportion could you solve to determine the weight of a person on Mars who weighs 160 2 over 5 pounds on Earth?
A
fraction numerator 100 over denominator begin display style m end style end fraction equals fraction numerator begin display style 160 2 over 5 end style over denominator 37 begin display style 7 over 10 end style end fraction
B
fraction numerator 100 over denominator begin display style 160 2 over 5 end style end fraction equals fraction numerator m over denominator 37 begin display style 7 over 10 end style end fraction
C
fraction numerator 160 begin display style 2 over 5 end style over denominator begin display style m end style end fraction equals fraction numerator 37 begin display style 7 over 10 end style over denominator 100 end fraction
D
fraction numerator m over denominator 160 begin display style 2 over 5 end style end fraction equals fraction numerator 37 begin display style 7 over 10 end style over denominator 100 end fraction
(a) since the mars:earth ratio is constant,
x / (160 2/5) = (37 7/10) / 100
now you try the others. Your style of typing fractions using annoying words instead of real math just makes my eyes bleed.
Cross-multiplying the options, we find that option B is the correct proportion:
$\frac{100}{160\frac{2}{5}} = \frac{m}{37\frac{7}{10}}$
The correct proportion to solve would be option B:
Fraction
(numerator: 100 / denominator: 160 2/5)
equals
Fraction
(numerator: m / denominator: 37 7/10)