The problem states two things:
1. “A bat and a ball cost $1.10 in total”
2. “The bat costs $1.00 more than the ball.”
So in other words:
1. Bat+Ball=1.10
2. Bat=Ball+1.00
So if we replaced “Bat” with “Ball+1.00” we get (Ball+1.00)+Ball=1.10, or simply Ball+Ball = 0.10, which means a ball costs 0.05 and so a bat costs 1.05.
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