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Question
A coin purse contais a mixture of 32 coins in dimes and quarters. The coins have a total value of $5, or 500 cents.Determins the number of dimes and the number of quarters in the purse.
Hello Chantal
A dime is worth 10 cents and a quarter is one fourth of a dollar.
So the purse contains 32 coins, implies that the sum of all coins (dimes + quarters) is 32.
In addition, the sum of the money (their Value) is $5
Assuming D and Q represent the number of dimes and quarters respectively,
We have a wonderful mathematical expression.
D + Q = 32
0.1D + 0.25Q = $5
To solve this simultaneous equation, you can us substitution method.
D = 32 – Q
Now, substitute the above equation in place of D in the second equation.
0.1 (32 – Q) + 0.25Q = 5
3.2 – 0.1Q + 0.25Q = 5
3.2 + 0.15Q = 5
0.15Q = 1.8
Q = 12
Therefore, there are definitely 12 quarters and…
D + 12 = 32
D = 20
…20 dimes in the purse
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Answers by Expert:
Michael Tadesse
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I can answer questions regarding Relations, linear functions and equations, Squares and square roots, Translation and Similarity, Special Properties of Right Angled Triangles, Measurement of Area and Volume, algebra. I can also answer questions related to Pre calculus, Limits and Continuity, Derivatives Applications of Derivatives, High school math in general. I can’t answer questions of the following type. Power Series, Multiple Integrals, Fourier series, Vector valued Functions.
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