The total toll charge for 1 car and 5 bicycles to cross a bridge is $7.50.
The toll for a car is $1.50 more than for a bicycle. Find the cost for a car to cross the bridge.
C=toll for a car
B=toll for a bicycle
C+5B = 7.5
C- B = 1.5
Can you find C & B?
yeah i can thanks
Good!
You can check your results against the problem statement. If in doubt, post your results.
nevermine i can't how can u find b
Subtract the second equation from the first to get
C+5B -(C-B) = 7.5 -1.5
6B = 6
B=1
Substitute B=1 into the second equation to get C.
thanks i got now the car cost 2.50
Excellent! It's correct.
It costs 8 dollars.
To solve this problem, let's assume the cost for a bicycle to cross the bridge is 'x' dollars.
According to the problem, the toll for a car is $1.50 more than for a bicycle. So, the cost for a car would be 'x + $1.50'.
To find the total toll charge for 1 car and 5 bicycles, we need to add up the cost for the car and the cost for the 5 bicycles. So, the equation would be:
1 car + 5 bicycles = $7.50
Substituting the values, we have:
(x + $1.50) + 5x = $7.50
Now, simplify the equation:
6x + $1.50 = $7.50
Subtract $1.50 from both sides:
6x = $6.00
Divide both sides by 6 to solve for x:
x = $1.00
So, the cost for a bicycle to cross the bridge is $1.00.
To find the cost for a car, we add $1.00 to $1.50:
Cost for a car = $1.00 + $1.50 = $2.50
Therefore, the cost for a car to cross the bridge is $2.50.