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A bat and a ball cost $1.10 in total. the bat costs a dollar more than the ball. how much does the ball cost?
Explanation
Let B be the cost of the ball and let T be the cost of the bat. We know:
- B + T = $1.10 (total cost)
- T = B + $1.00 (bat cost is $1 more than the ball)
Substitute the second equation into the first equation:
B + (B + $1.00) = $1.10
Combine like terms:
2B + $1.00 = $1.10
Subtract $1.00 from both sides:
2B = $0.10
Divide both sides by 2 to isolate B:
B = $0.05
Therefore, the ball costs $0.05 and the bat costs $1.05 (B + $1.00).
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Source: Math Hello Kitty
Categories: Math
