A Bat and a ball

Algebra Level 1

A bat and a ball cost $1.10,the bat is $1 more than the ball. How much is the bat???

The answer is 1.05.

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8 solutions

Nemo Maximus
Jul 22, 2014

Take cost of ball to be x -1 , and the cost of the bat to be x

x + (x - 1) = 1.10

2x - 1 = 1.10

2x = 2.10

x = 2.10 2 \frac{2.10}{2}

x = 1.05 \boxed{1.05}

Jiang Rong Lim
Jul 12, 2014

Most people will think quickly and put ten pence because they subtract $1 from $1.10 which gives you 10p.The answer is 5p because if the ball is 5p the bat will be $1.05 which is $1 more than 5p.

this question makes us realize that we should not be carried away by our skills.......but still focus on the root...........many of us would have indeed thought that $1would have been the answer

Mayank Holmes - 6 years, 11 months ago

why am i getting a wrong answer upon putting 1.05

Sai Prasanth Rao - 6 years, 11 months ago

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I have updated the answer to 1.05.

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Calvin Lin Staff - 6 years, 11 months ago

ans 1.05 is right. but question is wrongly framed. too bad.

Aaditya Bhatt - 6 years, 11 months ago
Mridul Jain
Jul 20, 2014

Cost of (bat + ball = 1.10 $)

Cost of ( bat - ball = 1 $)

Add them :
                2 bat=2.10$

Therefore : cost of bat = 1.05 $

Tanya Gupta
Jul 22, 2014

This question is there in Daniel Kanheman's book "Thinking Fast and Slow" which shows that human mind is actually two systems...one fast and the other slow. Our mind has the tendency to do least work and hence we intuitively answer this question $1 for the bat while 10p for the ball....which is not the case!!!

Great fact

Piwat Klomkaew - 6 years, 10 months ago
Omar Hassan
Jul 24, 2015

Let the pat=X

and the ball=Y

then : X+Y=1.10


add the 2 equations

then : 2X=2.10

then X=1.05


Let the cost of bat be x

So, cost of ball=x-1




Tom Dufall
Jul 27, 2014

Let the cost of the ball be x, and since the bat costs $1 more its cost is (x+1). The sum of all the goods is (2x + 1) = 1.1 so we subtract 1 for 2x = 0.1, then divide by 2 and get x=0.05. The cost of the bat is (x+1) = 0.05 + 1 = $1.05

Naman Jain
Jul 23, 2014

take cost of ball as x; now bat = x+10; therefore x+x+10 = 1.10 2x = 0.10 => x=0.05 cost of ball = 0.05 $ cost of bat = 0.05 +1.0 = 1.05 $

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