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.(Use Cramer’s Rule)
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Let Eraser Cost= x
By the Given Problem Pencil cost = 25 + x
Therefore Cost of 8 Pencils = 8(25+x)
= 200+8x
Therfore cost of 10 erasers = 10(x)
=10x
$12.80 = 1280 Cents
Therefore 200+8x+10x =200+18x
200+18x = 1280 cents
18x=1280-200
18x=1080
x=1080/18
x=60
pencil cost = 25+x
=25+60 [Substitute X=60]
=85 CENTS
ERASER COST = x
Therefore x=60
Pecil cost=85 cents
eraser cost=60 cents
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