Question

A boat has a mass of 31,999 kg and a plane has a mass of 110,000 kg. What is the ratio of weight of the plane to the boat?

A. 3.44 :1
B. 2.14:1
C. 9.96:1
D. 20.12:1

Answer 1

A. 3.44 :1

Step-by-step explanation:

We use ratios to compare things, that is, this helps us to know how much of one thing there is compared to another thing. We can express ratios in different ways:

`Using \ fractions: \ (a)/(b) \\ \\ \\ Using \ words: \ a \ to \ b \\ \\ \\ Using \ : \ to \ separate \ values`

In this exercise, we know that:

• A boat has a mass of 31,999 kg
• A plane has a mass of 110,000 kg

And we want to know the ratio of weight of the plane to the boat. So, if:

a: mass of the boat 31,999 kg

b: mass of the plane 110,000 kg

Then, the ratio of weight of the plane to the boat is:

`(b)/(a)=(110,000)/(31,999)=3.44 \\ \\ \\ So: \\ \\  \boxed{(b)/(a)=3.44:1}`

So the correct option is A. 3.44:1

Answer 2

3.44:1

Step-by-step explanation:

We use ratios to find the ratio of weight.

Mass of Plane= 110000 kg ∴ W= mg

Mass of Boat =31999 kg

`(weight of plane)/(weight of boat)`=
`(110000*9.81)/(31999*9.81)`

=
`(3.44)/(1)`

SO 3.44:1