Question

Carey creates the table below to help him determine 75% of 36. 75% of 36 25% 25% 25% 25% One-fourth One-fourth One-fourth One-fourth 9 9 9 9 He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer? The 27 could be changed to 36. The Three-fourths could be changed to One-fourth. The Three-fourths could be changed to One-fourth, and the 27 could be changed to 9. The 27 could be changed to 36, and the Three-fourths could be changed to One-fourth.

Answer 1

option A.The 27 could be changed to 36.

Answer 2

The correct option is (A).

Explanation:

The expression Carey is solving is:

`X=75\%\ \text{of}\ 36`

Simplify the expression as follows:

`X=75\%\ \text{of}\ 36`

`=(75)/(100)* 36\\\\=(3)/(4)* 36\\\\=3* 9\\\\=27`

So, in Carey's calculation the third step is incorrect.

Instead of 27 the three-fourth must be multiplied by 36 to get the correct answer.

Thus, the correct option is (A).