Question 212113: YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL? Found 2 solutions by vleith, drj:Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL?
Step 1. Total cost = 10x = 25y
where x is the number of dimes
and y is the number of quarters
Step 2. y=x-3 since toll is 3 more dimes than quarters. That is, number of quarters is less than number of times,
Step 3. Substitute y of Step 2 into Step 1 .
Step 4. Subtract 10x from both sides of equation to make left side = 0
Step 3. Now add 75 to both sides of equation to isolate x on one side.
Step 6. Isolate x by dividing 15 to both sides of equation
Step 7. x=5 (x is the number of dimes) so the cost of the toll is
Total Cost =
As a check with y as the number of quarters then
,
so
Total Cost =
So the answer also checks out with the number of quarters.
For Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.
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