If Lisa bought 2 note pads+ 5 pencils= $7 and Ted bought 3note pads + 2 pencils =$7.75
How much is
1 note pad and 1 pencil
Let's set up a system of equations to solve this problem.
Let's say the cost of one note pad is 'n' dollars and the cost of one pencil is 'p' dollars.
From the given information, we can set up the following equations:
2n + 5p = 7 (equation 1)
3n + 2p = 7.75 (equation 2)
To find the cost of 1 note pad and 1 pencil, we need to solve for 'n' and 'p'.
Multiplying equation 1 by 3 and equation 2 by 2, we get:
6n + 15p = 21 (equation 3)
6n + 4p = 15.5 (equation 4)
Subtracting equation 4 from equation 3, we get:
(6n + 15p) - (6n + 4p) = 21 - 15.5
11p = 5.5
p = 0.5
Substituting the value of p back into equation 1, we can solve for 'n':
2n + 5(0.5) = 7
2n + 2.5 = 7
2n = 7 - 2.5
2n = 4.5
n = 2.25
Therefore, the cost of 1 note pad and 1 pencil is $2.25 + $0.50 = $2.75.