5 pencils and 7 pens together cost Rs.50 whereas 7 pencils and 5 pens together cost Rs.46.
Find the cost of one pencil and that of one pen.
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Step-by-step explanation:
let pencils be X
pens be Y
5x+7y=50 be the equation 1
7x+5y=46 be the equation 2
(5x+7y=50)×5
(7x+5y=46)×7
25x+35y=250
49x+35y=322
(-) (-) (-)
+35y
-35y will be cutted
-24x=-72
24x=72
x=72/24= 3
from the equation 1 let's substitute the value X by using X=3
5(3)+7y=50
15+7y=50
7y=50-15=35
7y=35
y=35/7 =5
y=5
cost of 1 pencil= 3
cost of 1 pen =5
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