Q:

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!!

Accepted Solution

A:
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