becky and Luke bought the same kind of pencils and Erasers Becky Spent $1.45 For 2 Pencils and 3 Erasers. Luke spent $2.65 for 5 Pencils and 1 eraser. What is the cost of one eraser?

Answer 1

Let's represent the cost of one pencil as P and the cost of one eraser as E.

From the given information, we can set up the following two equations:
2P + 3E = 1.45
5P + 1E = 2.65

Let's solve these equations simultaneously. First, we can multiply the first equation by 5 and the second equation by 2 to make the coefficients of P the same in both equations:

10P + 15E = 7.25
10P + 2E = 5.30

Now, we can subtract the second equation from the first:

13E = 1.95
E = 1.95/13
E = $0.15

Therefore, the cost of one eraser is $0.15.