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I have $20.70 in quarters and dimes. If I have a total of 120 coins, how many of each do I have?​

Respuesta :

Answer:

62 dimes

58 quarters

Step-by-step explanation:

Let d = no. of dimes

      q = no. of quarters

10d = value of dimes in cents

25q = value of quarters in cents

$20.70 = 2070 cents

(1)    d + q = 120             (2)    10d + 25q = 2070

            q = 120 - d                 10d + 25(120 - d) = 2070

                                               10d + 3000 - 25d = 2070

                                               -15d = -930

                                                    d = 62 dimes

            q = 120 - 62 = 58 quarters

Check:  62(10) + 58(25) = 620 + 1450 = 2070

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