Let x and y be equal (1+1)
bat is 100 more than ball
100+x+y=110 ( You are mixing the units, else according to your defintion, then 100+x+y = 100+1+1 = 102. No?) See my solution below.
x+y=10 (x+y = 1+1 =2)
bat is 100 more than ball therefore bat is 5=100=105
ball is 5
Let x be the cost of the bat , Y the cost of the ball.
x+y = $110
X-y = $100
add the two simple equations above and you get:
2x = $210
Therefore X= $105,
hence Y = $110 -$105 = $5.
Anyway Bruddaman, you deserve a Boston Cream Doughnut.