SOLUTION: My teacher just taught us this lesson, but I am still very confused on how to create the equations from the word problem. Here is the problem 1.Veronica has been saving dimes a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: My teacher just taught us this lesson, but I am still very confused on how to create the equations from the word problem. Here is the problem 1.Veronica has been saving dimes a      Log On


   



Question 705956: My teacher just taught us this lesson, but I am still very confused on how to create the equations from the word problem. Here is the problem
1.Veronica has been saving dimes and quarters. She has 94 coins in all, and the total value is $19.30. How many dimes and how many quarters does she have?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

We will solve this problem using system of LINEAR EQUATIONS:
x+%2B+y+=+94......eq.1...where x is number of dimes and yis number of quarters
.10x+%2B+.25y+=19.30....eq.2
________________________
First, we solve eq.1 for x:
x+%2B+y+=+94......eq.1
x+=+94-y........eq.1a
Then, we substitute the solution for xin eq.2:
.10x+%2B+.25y+=19.30....eq.2
.10%2894-y%29+%2B+.25y+=19.30.......solve for y
9.4-.10y+%2B+.25y+=19.30
.25y-.10y+=19.30-9.4
+.15y+=9.9
+y+=9.9%2F0.15
+highlight%28y+=66%29......the number of quarters
Now that we know how much quarters there are, we can complete the equation eq.1a and solve it for x:
x+=+94-y........eq.1a
x+=+94-66
highlight%28x+=+28%29......the number of dimes