Canadian 10¢ and 25¢ coins are made of pure nickelwhich has a density of 8.902 g

Question

Canadian 10¢ and 25¢ coins are made of pure nickelwhich has a density of 8.902 g/cm3. Suppose each dimeweighs 2.14 g and each quarter weighs 5.35 g. A small collection ofdimes and quarters are submerged in 10.00 mL of water in agraduated cylinder causing the water level to rise to the 15.89 mLmark. What is the combined monetary value (in Can$) of thosecoins?
I"ll rate lifesavior!! thank oyu!! Canadian 10¢ and 25¢ coins are made of pure nickelwhich has a density of 8.902 g/cm3. Suppose each dimeweighs 2.14 g and each quarter weighs 5.35 g. A small collection ofdimes and quarters are submerged in 10.00 mL of water in agraduated cylinder causing the water level to rise to the 15.89 mLmark. What is the combined monetary value (in Can$) of thosecoins?
I"ll rate lifesavior!! thank oyu!!

Explanation / Answer

the density = 8.902 g/cm3, thus the mass of the collection is5.89 x 8.902 = 52.43 g if the collection includes n pieces of dimes and m pieces ofquarters, then, (n x 2.14) + (m x 5.35) = 52.43 since both n and m have to be integers, you can simply put theintegers that are less than 20 in the Eq above to try. Then, you will find n=2 and m = 9. The total value of the coins = 2 x 10cents + 9 x 25cents = 245cents = Can$ 2.45

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