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The ball cost $0.05/
Details:
because the bat and ball together are of $1.10
you have also mentioned that the bat is $1 more than the ball cost.
it means if the ball is of $.05 then the bat will be of ($1 + (the cost of ball)) = $1 + $.05 = $1.05
>>bat and ball together equals to = bat($1.05) + ball($0.05) = $1.10
Total cost = $1.10 (including bat and ball - bat -$1.00 + ball - $0.10) ,because ball cost is high $1.00 than ball , so ball cost is $0.10
Bat + Ball =1,10
Bat = Ball +1,00
=> substitute the2nd equation in the first and you get
Ball +1,00 + Ball =1,10 <=>2 * Ball =1,10 -1,00 <>2 * Ball =0,10 <=> Ball =0,10 /2 <=> Ball =0,05
=> Now for the end results:
Ball =0,05
Bat =1,10 - Ball <=> Bat =1,10 -0,05 <=> Bat1,05
Let's put some name on what we are looking for:
1- P' is the price of the ball. 2- P'' is the price of the bat. 3- P is the total cost.
According to the question: P=1.10=P'+P"=P'+(P'+1)
<=> P'+P'+1=1.10
<=>2P'+1=1.10
<=> P'= (1.1-1)/2
<=> P'=.05
The ball costs0.05$, the bat1.05$. (as verification the addition of the2 prices equals1.1$)
The ball costs $01.10
The ball would cost $0.10
the bat costs $1.05 and the ball cost $.05
The Ball cost should be0.05"
From a pure mathmatic point of view the ball, as the information provided, cost $0.10 but unless the the ball or bat was on an offer (Buy1 get the other for a less price)
it will be0.05
1.05 (Bat) +0.05 (Ball) =1.10
my ans is1.10
