Question
Assume that at the current exchange rate, the British pound is worth
American dollars. You have some dollar bills and several British pound coins.
There are 17 items altogether, which have a total value of
dollars. How many American dollars and how many British pound coins do you
have?
British pound coins
American dollars
American dollars. You have some dollar bills and several British pound coins.
There are 17 items altogether, which have a total value of
dollars. How many American dollars and how many British pound coins do you
have?
British pound coins
American dollars
Ask by Kirk Black. in the United States
Mar 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
You have 15 American dollars and 2 British pound coins.
Solution
Let’s denote the number of American dollars as
Given:
- The British pound is worth
in American dollars. - There are 17 items altogether, which have a total value of
in American dollars.
We can set up the following system of equations based on the given information:
-
(Equation 1) -
(Equation 2)
Now, we can solve this system of equations to find the values of
Solve the system of equations by following steps:
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Solve the equation:
- step2: Substitute the value of
- step3: Add the terms:
- step4: Move the constant to the right side:
- step5: Subtract the numbers:
- step6: Change the signs:
- step7: Divide both sides:
- step8: Divide the numbers:
- step9: Substitute the value of
- step10: Calculate:
- step11: Calculate:
- step12: Check the solution:
- step13: Rewrite:
The solution to the system of equations isand .
Therefore, you have 15 American dollars and 2 British pound coins.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
Let’s break it down! To find out how many American dollars and British pound coins you have, we can set up some equations. Let
Alright, let’s look at real-world applications! Understanding currency conversion is super useful for travelers and international business folks! For instance, if you are planning a trip to the UK, knowing the exchange rate helps you budget your expenses better. Plus, recognizing which currency you’re holding can save you from some head-scratching moments when comparing prices!
If you’re ever counting currency, a great tip is to organize by denomination first! When handling mixed currency, separate them into piles. It not only speeds up your counting process but also reduces the chance of mistakes. A common error is confusion between the values—like mistaking smaller bills or coins for higher denominations, especially in unfamiliar currencies! So keep your currencies organized, and you’ll always come out on top!
