Question

Compare - 40% of A is equal to $300 and 30% of B is equal to $400

Answer 1

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

Answer 2

B is greater than A.

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.

`(40)/(100)*A=300`

`0.40A=300`

`(0.40A)/(0.40)=(300)/(0.40)`

`A=750`

Similarly, we will find B.

`(30)/(100)*B=400`

`0.30*B=400`

`(0.30B)/(0.30)=(400)/(0.30)`

`B=1333.3333`

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

Therefore, B is greater than A.