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3 years ago

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

1 answer:

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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cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

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Step-by-step explanation:

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3 years ago