Sam has $15 more dollars than Sarah, Casey has 2 times as much as Sam. The total they have all together is $95, how much money does each person have?

Answers:

Explanation:

x = amount of money Sarah has

x+15 = amount of money Sam has, since he has $15 more than her

2(x+15) = amount of money Casey has, since he has twice as much as Sam.

Let's add up those three expressions and set that sum equal to 95

Solve for x.

Sarah + Sam + Casey = 95

x+(x+15) + 2(x+15) = 95

x + x + 15 + 2x + 30 = 95

4x+45 = 95

4x = 95-45

4x = 50

x = 50/4

x = 12.50

This says that Sarah has $12.50

That must mean Sam has x+15 = 12.50+15 = 27.50 dollars

And Casey must have 2*27.50 = 55 dollars.

As a check,

Sarah+Sam+Casey = 12.50+27.50+55 = 95

So the answer is confirmed.

Step-by-step explanation:

Let Sarah have x dollars.

Then Sam has x + 15

Casey had 2(x + 15)

x + x + 15 + 2(x + 15) = 95               Remove the brackets.

2x + 15 + 2x + 30 = 95                    Collect like terms

4x + 45 = 95                                   Subtract 45 from both sides.

4x = 95 - 45

4x = 50                                           Divide by 4

x = 50/4

x = 12.5

Sarah has                          12.50

Sam has    16.67 + 16 =     27.50

Casey has                         55.00

Total                                    95

check the picture below.