Rosa and Marty had the same amount of money.After Rosa spent $45 and Marty spent $117, Rosa had 4 times as much money as Marty. How much money did Rosa have at first?
I don't know the answer to this one so can you show me how you got your answer and what's your answer?
original amount of Rosa and Marty --- x
after spending:
Rosa --- x-45
Marty --- x-117
now Rosa has 4 times as much as Marty
x-45 = 4(x-117)
x-45 = 4x - 468
-3x = -423
x =141
They both had 141
check: after spending:
Rosa had 141-45 = 96
marty had 141-117 = 24
Does Rosa have 4 times as much as Marty ??? YES!!
To solve this problem, let's break it down into steps:
Step 1: Let's assume that the initial amount of money Rosa and Marty both had is "x" dollars.
Step 2: After Rosa spent $45, she would have (x - 45) dollars left.
Step 3: Marty spent $117, so he would have (x - 117) dollars left.
Step 4: According to the problem, after Rosa spent $45, she had 4 times as much money as Marty. This can be written as the equation: (x - 45) = 4(x - 117)
Step 5: Now, solve the equation to find the value of x:
x - 45 = 4x - 468
Subtract x from each side:
-45 = 3x - 468
Add 468 to each side:
423 = 3x
Divide by 3:
x = 141
So, Rosa originally had $141.