An Airbus

An Airbus A380 has one first-class section, one business-class section, and 4 economy-class sections. The first-class section of the Airbus A380 has 14 seats, 5/7 are being used. The business-class section has 64 seats. 5/16 is being used. Each Economy-class section has 108 seats. 5/9 in each section are being used.

Are more than half the seats on the plane being used?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} a=14 \\ {a}_1=\frac{5}{7}\cdot a=\frac{5}{7}\cdot 14=\frac{5\cdot 14}{7}=\frac{70}{7}=10 \\ b=64 \\ {b}_1=\frac{5}{16}\cdot b=\frac{5}{16}\cdot 64=\frac{5\cdot 64}{16}=\frac{320}{16}=20 \\ c=4\cdot 108=432 \\ {c}_1=\frac{5}{9}\cdot c=\frac{5}{9}\cdot 432=\frac{5\cdot 432}{9}=\frac{2160}{9}=240 \\ n=a+b+c=14+64+432=510 \\ {n}_1=a_1+b_1+c_1=10+20+240=270 \\ {n}_2=n/2=510/2=255 \\ {n}_1>n_2 \\ 270>255 \\ x=1 \end{gathered}$$

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