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Suppose tom has 23 coins totaling $4.25. if he has only dimes and quarters, how many of each type does he have?

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suppose Tom has d dimes and q quarters.
total number of coins: d+q=23
total amount of money: 10d+25q=425
multiply the first equation by 10: 10d+10q=230
subtract the new equation from the second equation: 25q-10q=425-230,
15q=195
q=13
d=23-13=10
Tom has 10 dimes and 13 quarters.
User Todilo
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