Question

cost of a pencil is 25 cents more than the cost of a eraser if the cost of 8 pencils and 10 eraser is $12.80,find the cost of each ( Use Cramer Method )​

Answer 1

Answer:

Cost of an Eraser=x=60

Cost of a pencil=25+x=85

Step-by-step explanation:

Pencil

25+x  

Eraser

x

8(25+x)+10x=1280. [1 dollars = 100 cents]

[12.80 dollars=1280 cents]

=200+8x+10x=1280

=200+18x=1280

=18x=1280-200

=18x=1080

x=1080÷18

x=60

Cost of an Eraser=x=60

Cost of a pencil=25+x=85

Answer 2

Answer:

let the cost of the eraser be x and the pencil be x + .25

according to the question

8( x + .25 ) + 10x = 12.80

8x + 2 + 10x = 12.80

8x + 10x + 2 = 12.80

18x + 2 = 12.80

18x = 12.80 - 2

18x = 10.80

x = .60

so, the cost of the eraser is x = .60 cents

the cost of the pencil is x + .25 = .60 + .25 = .85 cents