Question

The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10
erasers is $12.80, find the cost of each.
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Answer 1

Pencil Eraser

25+x 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 a Eraser=x=60

Cost of a pencil=25+x=85

Answer 2

Answer:

The cost of an eraser=60 cents

The cost of an eraser=60 centsThe cost of pencil=60+25=85 cents

Explanation:

Given:-

The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10

The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10 erasers is $12.80,

To find:-

find the cost of each.

Solution:-

Let the cost of an eraser be X cents

Then the cost of pencil=25 cents more than the cost of a eraser=X+25 cents

the cost of 8 pencils and 10 erasers is $12.8

=>8(X+25)+10(X)=$12.8

=>8X+200+10X=$12.8

=>18X+200=$12.8

we know that,1$=100 cents

=>18X+200=12.8×100 cents

=>18X+200=1280

=>18X=1280-200

=>18X=1080

=>X=1080/18

=>X=60

The cost of an eraser=60 cents

The cost of pencil=60+25=85 cents

Answer:-

The cost of an eraser=60 cents

The cost of pencil=60+25=85 cents