Riley and Justin shared a cash prize in the ratio 2:5. Justin received $27 more than Riley. How much money did riley get?
2x=5x-27
3x=27
x=9
Riley has $18
To find out how much money Riley received, we can break down the problem into steps:
Step 1: Set up the ratio equation
Let's assume that Riley received a certain amount of money, which we'll call "x."
According to the given ratio, Justin received 5 times the amount that Riley received. So, we can say that Justin received 5x.
Step 2: Establish the relationship
We are told that Justin received $27 more than Riley. So, we can create the equation:
5x = x + $27
Step 3: Solve the equation
Let's solve the equation to find the value of x (the amount Riley received):
5x = x + $27
Subtract x from both sides of the equation:
5x - x = $27
Combining like terms:
4x = $27
Divide both sides of the equation by 4:
x = $27 ÷ 4
x = $6.75
Therefore, Riley received $6.75.