SOLUTION: jane buys 5 pencils and 2 rubbers for 74 pence and her brother alan buys 2 pencils and one rubber for 31 pence. if each pencil costs x and each rubber costs y , write down a pair o
Algebra ->
Expressions
-> SOLUTION: jane buys 5 pencils and 2 rubbers for 74 pence and her brother alan buys 2 pencils and one rubber for 31 pence. if each pencil costs x and each rubber costs y , write down a pair o
Log On
Question 10125: jane buys 5 pencils and 2 rubbers for 74 pence and her brother alan buys 2 pencils and one rubber for 31 pence. if each pencil costs x and each rubber costs y , write down a pair of simultaneous equations and solve them to find the cost of the pencil and rubber.
5x+2y=74 Answer by bonster(299) (Show Source):
You can put this solution on YOUR website! each pencil =x
each rubber=y
jane has 5 pencils=5x and 2 rubbers=2y; total pence=74
alan has 2 pencils=2x and 1 rubber=1y; total pence=31
5x+2y=74
-2(2x+1y=31) <--multiply by -2
5x+2y=74
-4x-2y=-62
x=12
-2(5x+2y=74)
5(2x+1y=31)
-10x-4y=-148
10x+5y=155
y=7
a pencil costs 12 pence and a rubber costs 7 pence
(