Asked by Anonymous
George has 21 coins with a total value of $12.75. He knows he only has quarters and dollar coins in his pocket. How many coins of each type does he have? Create a system to solve.
Answers
Answered by
Reiny
number of $1 coins --- x
number of quarters ---- y
x + y = 21
100x + 25y = 1275 --> 4x + y = 51
subtract them:
3x = 30
x = 10
then y = 11
He has 10 dollar coins and 11 quarters
check
value: 100(10) + 25(11) = 1275 cents = $12.75
number of quarters ---- y
x + y = 21
100x + 25y = 1275 --> 4x + y = 51
subtract them:
3x = 30
x = 10
then y = 11
He has 10 dollar coins and 11 quarters
check
value: 100(10) + 25(11) = 1275 cents = $12.75
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.