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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