Question

A motorcycle needs 15 liters of gasoline to travel 240 kilometers. How much gasoline is needed to travel 160 kilometers? Which of the following proportions represents the problem? *
1 punto
.A. 15 : 240 = x : 160
B. 15 : 240 = 160 : x
C. 240 : 15 = x : 160
D. 240 : 15 = 160 : x​

Answer 1

Answer:

D. 240 : 15 = 160 : x

Step-by-step explanation:

Answer 2

Given:

A motorcycle needs 15 litres of gasoline to travel 240 kilometres.

To Find:

How much gasoline is needed to travel 160 kilometres? Which of the following proportions represents the problem?

A. 15 : 240 = x : 160

B. 15 : 240 = 160 : x

C. 240 : 15 = x : 160

D. 240 : 15 = 160 : x​

Solution:

First, we need to express the 1st part of the question in a fraction that is 15L is required to travel 240km which will be as 15/240 and now to express it in proportion we will need to express the 2nd part as a ratio too, according to the options

let x be the gasoline needed to travel 160km

now which be expressed as x/160

now we can express it in proportion in two ways that are

$1) 15:240::x:160\\2) 240:15::160:x$

because inversing the ratios on both sides will still make the proportion equal.

Hence, options (a) and (d) are the correct options.