Respuesta :

Answer:

B is greater than A.

Step-by-step explanation:

We have been given that 40% of A is equal to $300 and 30% of B is equal to $400. We are asked to compare both quantities.

Let us find A and B using our given information.

[tex]\frac{40}{100}*A=300[/tex]

[tex]0.40A=300[/tex]

[tex]\frac{0.40A}{0.40}=\frac{300}{0.40}[/tex]

[tex]A=750[/tex]

Similarly, we will find B.

[tex]\frac{30}{100}*B=400[/tex]

[tex]0.30*B=400[/tex]

[tex]\frac{0.30B}{0.30}=\frac{400}{0.30}[/tex]

[tex]B=1333.3333[/tex]

We know that smaller percent of big number is greater than bigger percent of a small number.

Therefore, B is greater than A.

Answer:

Step-by-step explanation:

40% Of A = 300

30% of B = 400

40a / 100 = 300, 40a = 3  divide both sides by 3 ,

then a = 13.33 approximately 13

30b = 400 = 400, 30b = 4 divide both sides by 30, then b =7.5

comparing both results where a = 13 , b = 7.5

a is greater than b with difference of 5.5