SOLUTION: Rory claims: "I have $20 in quarters, half dollars, and one-dollar bills. I have twice as many quarters as half dollars, and half as many one-dollar bills as half dollars". Give

Question 215899: Rory claims: "I have $20 in quarters, half dollars, and one-dollar bills. I have twice as many quarters as half dollars, and half as many one-dollar bills as half dollars". Give a convincing argument to explain why he must be wrong?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
CONVINCING ARGUMENT:
In order for his claim to be correct, the number quarters, half-dollars and one dollar bills need to be whole numbers and this does not happen. When we solve our equation, we end up with 13 1/3 half dollars, so his claim must be flawed.
Let x=number of half dollars; 0.5x=value of half dollars
Then 2x=number of quarters; 0.25(2x)=0.5x=value of quarters
And 0.5x= number of dollar bills; 1(0.5x)=0.5x=value of dollar bills
So, our equation to solve is:
0.5x+0.5x+0.5x=20
1.5x=20 divide each side by 1.5
x=13 1/3 --------------number of half dollars NO WAY!!!!!

Hope this helps---ptaylor
RELATED QUESTIONS
Rory claims: "I have $20 in quarters, half dollars, and one-dollar bills. I have twice... (answered by ptaylor)

warren has 40 coins all nickles, dimes, and quarters worth 4.05$. He has seven more... (answered by Paul)

In Emilys purse there is a collection of dollars, half dollars and quarters which total... (answered by Edwin McCravy)

Here is the word problem I am having complications solving: "Jeremy has 24 quarters and... (answered by ankor@dixie-net.com)

Mary has a jar with one-dollar bills, half-dollar coins, and quarters valuing $14.00. She (answered by josmiceli)

A storekeeper goes to the bank to get $10 worth of change. She requests twice as many... (answered by Alan3354)

this is the question: “How can I have $23.50 in change consisting of dimes, quarters,... (answered by josgarithmetic,greenestamps)

A woman has 10.50 in change consisting of twice as many half dollars as quarters and five (answered by checkley77,kammy13)

I'm not sure how to even set this up. My son has $112 dollars made up of dimes,... (answered by stanbon)