Question

Sally has 33 dollars more than Alex, and the ratio of their amounts is 1:12. How much money does Alex have?

A) $3
B) $6
C) $11
D) $12
E) $396

Answer 1

Alex has $3, because if you divide the extra $33 Sally has by 11 (the difference between their ratio amounts), you get Alex's amount which is $3.

Step-by-step explanation:

The question asks us to determine how much money Alex has if Sally has $33 more than Alex and the ratio of their amounts is 1:12.

Let's denote Alex's amount as $A. According to the ratio, Sally has 12 times the amount Alex has, so Sally's amount is 12$A. Since Sally has $33 more than Alex, we can write the equation 12$A = $A + $33. To find the value of $A, we subtract $A from both sides of the equation, resulting in 11$A = $33. Dividing both sides by 11 gives us $A = $3.

Therefore, the amount of money Alex has is $3, which corresponds to option A.