Michael has a total of$4.40 in dimes (1 dime=$0.10) and quarters (1quarter=$0.25), and he has 20 coins in total. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarter,q, he has?

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31-08-2017
Mathematics

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Michael has a total of$4.40 in dimes (1 dime=$0.10) and quarters (1quarter=$0.25), and he has 20 coins in total. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarter,q, he has?

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collincross collincross · Answer 1 · 2017-08-31T16:59:08+02:00

a) d+q=20
0.1d+0.25q=4.40 Let's just read what this says: first, # of dimes (d) plus # of quarters (q) is 20.The second equation can be called the VALUE EQUATION; it says that one tenth of a dollar ($0.10) times the # of dimes is part of the total monetary value, and that one quarter of a dollar ($0.25) times the # of 'quarter' coins is the other part of this stash, and it totals $4.40. VOTE FOR A.