OpenStudy (anonymous):
Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30 How many quarters and how many nickels are in the jar? Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30 How many quarters and how many nickels are in the jar? @Mathematics
OpenStudy (pfenn1):
Let q=number of quarters and n=number of nickels. From the sentence, "Hannah has a jar filled with 150 coins made up of quarters and nickels", we know\[q+n=150\]From the second sentence, "The total value of the coins is $28.30", we know \[0.25d+0.05n=28.30\]We now have two equations and two unknowns. Solve the first equation for n in terms of q and plug the resultant expression into the second equation for n. Rearrange and solve for q.
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