Question

An Airbus A380 has 1 first-class section, 1 business-class section
and 4 economy-class sections.
The first-class section has 14 seats.
5/7are being used.

The business-class section has 64 seats.
5/16are being used.
Each economy-class section has 108 seats.
5/9in each section are being used.


Are more than half the seats
on the plane being used?
You must show your working.

Answer 1

Answer:

Yes

Step-by-step explanation:

Number of seats used in First class section = 5/7*14= 10 number of  seats used in business class section= 5/16*64= 20 number of seats used in economy class section= 4*5/9*108=240 Total number seat = 14+64+432= 500.Yes more than half of the seats are being used because 270 is greater than 250.

Answer 2

Answer: NO (222 SEATS IS LESS THAN 255 SEATS )

Step-by-step explanation:

1 first-class section

The first-class section has 14 seats.

5/7 are being used = 5/7 * 14 seats = 10 seats

Unused seats = 14 seats - 10 seats = 4 seats

1 business-class section

The business-class section has 64 seats.

5/16 are being used = 5/16 * 64 seats = 20 seats

Unused seats = 64 seats - 20 seats = 44 seats

4 economy-class sections

Each economy-class section has 108 seats.

Each economy-class section has 108 seats.

5/9 in each section are being used  = 4 * ( 5/9 * 108) = 240 seats

Unused seats in 4 economy - class section = 4*108 - 240 = 192 seats

Total seats in an airbus = 1 first-class section + 1 business-class section + 4 economy-class sections

Total seats in an airbus = 14 + 64 + 432 = 510 seats

used seats in an airbus = 1 first-class section + 1 business-class section + 4 economy-class sections

used seats in an airbus = 10+20 +  192 = 222 seats

half of total seats = 510/2 = 255 seats

used seat = 222 seats

222 seats < 255 seats

Thus NO