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Artemon [7]
3 years ago
7

Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes

Mathematics
1 answer:
valkas [14]3 years ago
6 0
This is a problem of system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:

1. Alice has a total of 12 dimes and nickels.

Let the variables:

D: Dimes \\ N:Nickles

1st. Equation:

D+N=12

<span>2. She has 2 more nickels than dimes

2nd Equation:

N=D+2

Therefore our system of linear equations is:

</span>(1) \ D+N=12 \\ (2) \ N=D+2 \\ \\ Substituting \ (2) \ in \ (1): \\ D+(D+2)=12 \therefore 2D=10 \therefore D=5 \\ \\ Solving \ for \ N \ in \ (2): \\ N=5+2=7

Conclusion:

<span>Alice has 5 dimes and 7 nickels. </span>
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