1 quarter = 25 x (1) cents
2 quarters = 25 x (2) cents
3 quarters = 25 x (3) cents
4 quarters = 25 x (4) cents
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'q' quarters = 25 x (q) cents
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: Let q represent value of a quarter. : Let d represent value of a dime. : Let x represent number of dimes. : q = 0.25 : d = 0.10 : 6q = xd : 6(0.25) = x(0.10) : 1.50 = x(0.10) : 15 = x :Therefore - 15 dimes are needed for 6 quarters. : ( I'm not sure what you meant in your question because of how you worded it out... )
Work in cents...10D + 25Q = 1405 and D = 100 - QSubstitute: 10(100 - Q) + 25Q = 1405ie 1000 - 10Q + 25Q = 1405ie 15Q = 405so Q = 27, making D = 73
85 dimes = 85*10 cents = 85*10/25 quarters = 34 quarters.
Work in cents...10D + 25Q = 675 and D = Q + 8Substitute: 10(Q + 8) + 25Q = 675ie 10Q + 80 + 25Q = 675ie 35Q = 595so Q = 17, making D = 25
1 quarter = 25 cents 1 dime = 10 cents ⇒ 10 quarters + 2 dimes = 10 x 25 cents + 2 x 10 cents = 270 cents