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Logan has $3.15 worth of dimes and quarters. he has twice as many dimes as quarters. determine the number of dimes and the number of quarters that logan has.

Respuesta :

Computation by the help of system of equations of the number of dimes and the number of quarters that Logan has: 14 dimes and seven quarters

What is system of equations?

From the question, we have the following parameters that can be used in our computation:

  • Worth of coins = $3.15
  • Type of coins = Dimes and quarters
  • Two times as many dimes as quarters
  • Represent the dimes with d and the quarters with q
  • So, we have the following representation
  • d = 2q
  • When the dimes and quarters are converted to dollars, we have the following representations
    Dimes = $0.10
    Quarters = $0.25
  • So, we have the following representation

           0.10d + 0.25q = 3.15

          Recall that

          d = 2q

          So, we have

          0.10 * 2q + 0.25q = 3.15

            Evaluate the products

           0.45q = 3.15

           Divide both sides by 0.45

            q = 7

            Recall that

           d = 2q

           So, we have

          d = 2 * 7

         Evaluate

        d = 14

Hence, the number of dimes is 14.

Learn more about system of equations refer:

https://brainly.com/question/12895249

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