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Rama09 [41]
3 years ago
15

Help .. A. 600, 0 B. 50, 350 C. 0, 500

Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

C.0, 500

Step-by-step explanation:

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Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar
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Answer:

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Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

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- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

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* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

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∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

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