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:
1st. Equation:
<span>2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:
<span>Alice has 5 dimes and 7 nickels. </span>
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:
<span>Alice has 5 dimes and 7 nickels. </span>