Question

Three erasers and five pencils cost $7.55. 6 erasers and 12 pencils cost $17.40. How much does 1 eraser cost? How much does 1 pencil cost?

Answer 1

Using the system of linear equations based on given costs for erasers and pencils, and by applying the elimination method, it has been determined that one eraser costs $0.60 and one pencil costs $1.15.

Step-by-step explanation:

To solve for the cost of one eraser and one pencil, we can set up a system of linear equations based on the given information. The first equation represents the total cost of three erasers and five pencils, and the second equation represents the total cost of six erasers and twelve pencils .

We can solve this system through substitution or elimination. Let's use the elimination method: So one eraser costs $0.60 and one pencil costs $1.15.

Answer 2

Step-by-step explanation:

erasers=e

pencils=p

3e+5p=7.55 ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70 ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15