The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?

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The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Use the standard form of a line: Ax+By=C Let .01=value of the pennies Let .05=value of the nickels . (.01)(x)+ (.05)(450-x)=14.50 .01x+22.50-.05x=14.50 [Solve for x] .01x-.05x=-22.50+14.50 -.04x=-8 x=200 pennies 450-200=250 nickels . Check by plugging the values back into the original equation: Ax+By=C (.01)(200)+(.05)(250)=$14.50 14.50=14.50 [Checks out]

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