Randy has $3.55 worth of dimes and quarters in his pocket. The number of dimes is four more than twice the number of quarters. Which system of equations can be used to find how many dimes (d) and quarters (q) Randy has in his pocket?

Question

Mathematics

Cynthia Dunn

Today, 13:36

Randy has $3.55 worth of dimes and quarters in his pocket. The number of dimes is four more than twice the number of quarters. Which system of equations can be used to find how many dimes (d) and quarters (q) Randy has in his pocket?

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Answers (1)

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Kiley Hays · Answer 1

The system equation is: D.

0.10*d+0.25*q=3.55

d=4+2*q

where d = dimes and q=quarters

0.10 * (4+2*q) + 0.25*q=3.55

0.40+0.2*q+0.25*q=3.55

0.45*q=3.15

q=3.15/0.45 = 7

d=4+2*7=14+4=18