Greta says that 50% of a number will always be less than 75% of any other number. Complete one inequality to support Greta's claim and one to show that she is incorrect.

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texaschic101 texaschic101 · Answer 1 · 2018-01-25T14:05:03+01:00

counter claim :
50% of 100 > 75% of 50...
0.5(100) > 0.75(50)
50 > 37.5

supporting claim :
50% of 25 < 75% of 30
0.5(25) < 0.75(30)
12.5 < 22.5

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tardymanchester tardymanchester · Answer 2 · 2019-03-18T05:09:47+01:00

Answer:

Following are two inequality showing support and incorrect situation of Geeta.

Step-by-step explanation:

Given : Greta says that 50% of a number will always be less than 75% of any other number.

To find : Complete one inequality to support Greta's claim and one to show that she is incorrect.

Solution :

The situation is true or false depend upon the number.

The inequality form according to question,

Let the number be 100 and 50,

[tex]50\% \text{ of} 100 > 75\% \text{ of} 50[/tex]

[tex]\frac{50}{100}\times 100 > \frac{75}{100}\times 50[/tex]

[tex]50> 37.5[/tex]

This inequality doesn't support Geeta.

Now, taking number 25 and 30

[tex]50\% \text{ of} 25 < 75\% \text{ of} 30[/tex]

[tex]\frac{50}{100}\times 25< \frac{75}{100}\times 30[/tex]

[tex]12.5<22.5[/tex]

This inequality support Geeta.