If a and b are integers greater than 100 such that a+b=300, which of the following could be the each color?
A
9 to 1
B
5 to 2
C
5 to 3
D
4 to 1
Correct Answer: 9 to 1
To solve this question, you need to look at the answer choice. For of the answer choices to be the ratio of a to b, some multiples of the sum of the teo numbers must evenly divide by 300. E.g, if the ratio is 9:1, then a would be 9x and b would be x for some number x. Furthermore, 9x + x would have to equal 300. This is possible since 10x = 300 yields an integer solution, namely x = 30. Hawever if x = 30, then a would be 270 and b would be 30. So not the right ans. Only choice E. gives a correct ratio that satisfies all the conditions in the problem. For (e), a = 180 and b = 120, both are greater than 100.