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𝑥
+
(
𝑥
+
1
)
=
1.10
x+(x+1)=1.10
Combine like terms:
2
𝑥
+
1
=
1.10
2x+1=1.10
Subtract 1 from both sides:
2
𝑥
=
0.10
2x=0.10
Divide by 2:
𝑥
=
0.05
x=0.05
✅ The ball costs 5 cents, not 10 cents.
Why Do 90% of People Get It Wrong?
This is where it gets fascinating. The problem taps into something called cognitive reflection, a psychological concept that measures how much people override their gut instincts to engage in deeper reasoning.