A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Write the value in dollars not cents
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let x=bat and y=ball, then we have the two equations
x + y = 1.10 (eq. 1)
x = 1 + y (eq. 2)
substitute (eq. 2) in (eq. 1), we have
1 + y + y = 1.10
2y = 0.10
y = 0.10/2 = 0.05 dollars