three bothers earned a total of $3,500. larry earned twice as much money as jim while adam earned half as much money as jim. how much money did jim earned?
please show your work.
my answer is 1000 am i right if not please tell me why and how.
Jim = j
Adam = j/2
Larry = 2 j
j + j/2 + 2 j = 3,500
3.5 j = 3,500
j = 1,000
Which word is an antonym for "tired"
To find out how much money Jim earned, we need to consider the information given about Larry and Adam's earnings and their relationships with Jim. Let's break it down step by step:
1. Let Jim's earnings be represented by the variable "x".
2. According to the information given, Larry earned twice as much as Jim, so Larry's earnings can be represented as "2x".
3. Adam earned half as much as Jim, so Adam's earnings can be represented as "x/2".
Now, let's add up their earnings:
x + 2x + x/2 = 3500
To solve this equation and find x (Jim's earnings), we need to eliminate the fraction by multiplying the entire equation by 2:
2(x + 2x + x/2) = 2 * 3500
2x + 4x + x = 7000
7x + x = 7000
8x = 7000
x = 7000 / 8
x = 875
Therefore, Jim earned $875, not $1000.