Яндекс.Метрика

Wednesday, December 13, 2023

Baseball Bat and Ball

Problem:
A baseball bat and ball together cost $1.52.
The bat was $1 more expensive than the ball.
How much in cents did the ball cost?
Input only numerical part of your answer.

Solution: 
To solve this problem, let's denote the cost of the ball as  x in dollars. 
Since the bat costs $1 more than the ball, the cost of the bat would be x+1. 
The total cost of the bat and the ball together is $1.52, so we can set up the equation: 

x+(x+1)=1.52 

This simplifies to: 

2x+1=1.52 

Now, let's solve for x to find the cost of the ball. 
The cost of the ball is 26 cents.

Python: 
from sympy import symbols, Eq, solve
# Define the symbol
x = symbols('x')

# Equation: 2x + 1 = 1.52
equation = Eq(2*x + 1, 1.52)

# Solve the equation
ball_cost_dollars = solve(equation, x)[0]
ball_cost_cents = ball_cost_dollars * 100  # Convert to cents
ball_cost_cents

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