Final answer:
Jake and Kim share money in a 1:3 ratio, and if Jake gets $x, then Kim gets $3x. The equation $3x - $x = $90 is solved to find $x = $45, which means Kim receives $135.
Step-by-step explanation:
Jake and Kim share some money in the ratio 1:3, and Kim gets $90 more than Jake. To solve this problem, let's represent the amount Jake receives as $x. According to the ratio, Kim would then receive 3 times Jake's amount, which would be $3x. Since Kim gets $90 more than Jake, we can write the following equation:
$3x - $x = $90
Solving this equation gives us:
$2x = $90
$x = $45
So, Jake receives $45. Now, to find out how much does Kim get, we multiply $45 by 3:
Kim's share = $45 × 3 = $135
Therefore, Kim gets $135.