There is a combination of 35 dimes and quarters.The total value is$6.95. How man
ID: 3089936 • Letter: T
Question
There is a combination of 35 dimes and quarters.The total value is$6.95. How many are dimes and how many are quarters? Write as awhole number.Explanation / Answer
let d = number of dimes, q = number of quarters we know: d + q = 35 => d = 35 - q also: .10(d) + .25(q) = 6.95 => .10(35 - q) + .25q = 6.95(substitute value of d in from above) => 3.5 - .10q + .25q = 6.95(expand) => 3.5 + .15q = 6.95 (combine liketerms) => .15q = 3.45 (subtract 3.5 from bothsides) => q = 23(divide both sides by .15) use equation above to find d: d = 35 - q => d = 35 - 23 => d = 12
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