3.1.7 You have N nickels, D dimes, and Q quarters in your pocket. In total you h

Question

3.1.7 You have N nickels, D dimes, and Q quarters in your pocket. In total you have $3.25 and 19 coins. You have twice the number of dimes as nickels. How many coins of each type do you have? 3.1.8 You have two drinks. Drink A is 4% alcohol by volume and Drink B is 40% alcohol by volume. How much of each should you pour into a glass to get 2 pints of an alcoholic beverage that is 15% alcohol by volume? 3.1.9 Bottles A and B contain salty water. Bottle A contains salt at a concentration of 10 grams per liter. Bottle B contains salt at a concentration of 30 grams per liter. How many liters of water from Bottle A and Bottle B should you mix to get 10 liters of salty water with

Explanation / Answer

3.2.7

N+D+Q=19

0.05N+0.1D+0.25Q=3.25

D=2N

So the two equation becomes

3N+Q=19

0.25N+0.25Q=3.25

Solving them, we will get

N=3, Q=10

Therefore D=2(3)=6

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