SOLUTION: Assume that at the current exchange rate, the British pound is worth $1.65 in American dollars. You have some dollar bills and several British pound coins. There are 17 items altog

Algebra ->  Finance -> SOLUTION: Assume that at the current exchange rate, the British pound is worth $1.65 in American dollars. You have some dollar bills and several British pound coins. There are 17 items altog      Log On


   

Question 1099482: Assume that at the current exchange rate, the British pound is worth $1.65 in American dollars. You have some dollar bills and several British pound coins. There are 17 items altogether, which have a total value of $21.55 in American dollars. How many American dollars and how many British pound coins do you have?
Found 2 solutions by jorel1380, greenestamps:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let p be pounds and d be dollars. Then:
p+d=17
1.65p+d=21.55
Solve for p and d
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Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


Clearly if all 17 coins were dollars, the value would be $17.

But the total value of the coins is $21.55, which is $4.55 more than $17.

Since each pound is worth $0.65 more than a dollar coin, the number of pound coins must be 4.55%2F0.65+=+7

And then the other 10 coins are dollars.