The twenty-six coins in my pocket are all dollar coins and quarters, and they add up to seventeen dollars in value. How many dollar coins and how many quarters are in my pocket?

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Question:

The twenty-six coins in my pocket are all dollar coins and quarters, and they add up to seventeen dollars in value. How many dollar coins and how many quarters are in my pocket?

Answers

Currency such as dollars can come in various forms such as dimes, quarters, pennies, and nickels.The number of quarter coins is 12 and the number of dollar coins is 14 coins.Let's represent:The number of 1 dollar coin = dThe number of 1 quarter coin = qThe twenty-six coins in my pocket are all dollar coins and quarters. The algebraic equation for this statement above is = d + q = 26 ........ Equation 1Making d the subject of the formulad = 26 - q1 dollar coin = $11 quarter = $0.25The value of the dollar and nickel coins is seventeen dollars. The algebraic expression for this statement is :$1 x d + $0.25 x q = 17d + 0.25q = 17.................Equation 2Substitute 26 - q for d in Equation 2 26 - q + 0.25q = 17Collecting like terms26 - 17 = q - 0.25q9 = 0.75qDivide both sides by 0.759/0.75 = 0.75q/0.75q = 12 coinsSolving for number of dollar coinsd = 26 - qq = 12d = 26 - 12d = 14 coinsTherefore, the number of quarter coins is 12 and the number of dollar coins is 14 coins.To learn more, visit the link below:brainly.com/question/22799498

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