Monday, October 8, 2012

A bowling ball and a bag together cost $88. The ball costs three times as much as the bag. How much does each cost?

Let


the cost of a bowling
ball be x.


the cost of a bag be
y.


then ACCORDING TO THE STATEMENT, we will get the
following eqn


x + y =88[eqn
1]


now,the question says that ball costs 3 times as much as
bag.


which implies that, x = 3y[eqn
2]


now by using the elimination
method,


x + y =88


x = 3y which
implies that x-3y=0


now multiplying eqn 1 by 3,we
get


3x+3y=264


x-3y=0


subtracting
these two eqns, we
get


4x=264


which implies that,
x=264/4


x=66


now
x+y=88


66+y=88


y=88-66


y=22


therefore
cost of ball=x =66


cost of
bag=y=22.

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