Question

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?

Answer 1

Answers:

• Sarah has $12.50
• Sam has $27.50
• Casey has $55

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Step-by-step 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.

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As a check,

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

So the answer is confirmed.

Answer 2

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