A pad of loose-leaf paper is $0.40 less than a notebook. Together they cost $1.80. How much does the loose-leaf paper cost?? The notebook?
Let x = the pad of paper.
x + x - 0.4 = 1.80
2x = 1.40
x = 0.70
P + N = 1.80
N = P + .40
P +(P+ .40) = 1.80
2 P = 1.40
P = 0.70
N = P+ .40 = 1.10
I beleive the answer is the notebook cost $1.30. and the loose leaf paper cost $0.50.
You are out voted brain :)
To solve this problem, let's assign variables to the unknown quantities. Let's call the cost of the pad of loose-leaf paper "P" and the cost of the notebook "N".
According to the problem, the pad of loose-leaf paper costs $0.40 less than the notebook, so we can write the equation:
P = N - $0.40 .....(equation 1)
We are also given that the total cost of the pad of loose-leaf paper and the notebook together is $1.80. So we can write another equation:
P + N = $1.80 .....(equation 2)
Now we have a system of two equations with two variables (P and N). We can solve this system of equations to find the values of P and N.
To eliminate one of the variables, let's rewrite equation 1 in terms of N:
N = P + $0.40 .....(equation 3)
Now substitute equation 3 into equation 2:
P + (P + $0.40) = $1.80
Combine like terms:
2P + $0.40 = $1.80
Subtract $0.40 from both sides:
2P = $1.80 - $0.40
2P = $1.40
Divide both sides by 2 to solve for P:
P = $1.40 / 2
P = $0.70
So the pad of loose-leaf paper costs $0.70.
To find the cost of the notebook, substitute the value of P into equation 1:
N = P + $0.40
N = $0.70 + $0.40
N = $1.10
So the notebook costs $1.10.
Therefore, the loose-leaf paper costs $0.70 and the notebook costs $1.10.