If you buy a bat and ball for $1.10 and the bat is $1 more than the ball most people would answer that the ball costs 10c. however 10c is the wrong answer but i don’t understand why. could someone explain why in detail

the right cost is $1.05 for a bat and 0.5c for a ball.

Step-by-step explanation:

Let's imagine x in the price of bat and y is the price of the ball

From the infor we know that:

x + y= 1.10 (dollars)

and since the bat is $1 more than the ball we can ensure that:

x - 1 = y

Now we can replace y as follow:

x + x - 1 = 1.10

2x - 1 = 1.10

2x = 1.10 + 1

2x = 2.10

x= 2.10/2= 1.05 (dollars)