Question

Please solve the following problem!!

A bat and one ball cost one dollar and ten cents. The bat costs one dollar more than the ball. How much does the ball cost?

Inappropriate​ answers will be reported!!

Answer 1

Hi there! The price of the ball is $0.05

Let the price of the ball be represented by X. Then the price of the bat is X + 1.

Taking into account the total cost (of bat and ball) -- which is $1.10, we get the following equation.


`x + x + 1 = 1.10`
Collect terms.


`2x + 1 = 1.10`
Subtract 1 from both sides.


`2x = 0.10`
Divide both sides by 2.


`x = 0.10 / 2 = 0.05`
Therefore, the price of the ball (which was represented by X) is $0.05

Answer 2

1 bat & 1 ball costs $1.10

bat = a
ball = b

a = b + 1

a + b = 1.10

plug in b + 1 for a

(b + 1) + b = 1.10

Simplify

b + b + 1 = 1.10

2b + 1 = 1.10

isolate the b

subtract 1 from both sides

2b + 1 (-1) = 1.10 (-1)

2b = 0.10

divide 2 from both sides

2b/2 = 0.10/2

b = 0.10/2

b = 0.05

Plug in 0.05 for b into one of the equations

a = b + 1

a = 0.05 + 1

a = 1.05


bat = $1.05
ball = $0.05

hope this helps