Answer:
G
Step-by-step explanation:
a + b + c = 80
Express a and c in terms of b using the ratios in fractional form, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3a = 2b ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] b
[tex]\frac{b}{c}[/tex] = [tex]\frac{3}{11}[/tex] ( cross- multiply )
3c = 11b ( divide both sides by 3 )
c = [tex]\frac{11}{3}[/tex] b
Substitute the values for a and c into the original equation
[tex]\frac{2}{3}[/tex] b + b + [tex]\frac{11}{3}[/tex] b = 80 ( multiply through by 3 to clear the fractions )
2b + 3b + 11b = 240 , that is
16b = 240 ( divide both sides by 16 )
b = 15 → G
