The Bat and the Ball Problem

Algebra Level 1

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

5 cents 20 cents 10 cents 3 cents

Sonia Erwig by Sonia Erwig , 16, United Kingdom

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1 solution

Jordan Cahn
Jan 3, 2019

Let B B be the cost of a ball. Then the cost of a bat is B + 1 B+1 . B + ( B + 1 ) = 1.10 2 B = 0.10 B = 0.05 \begin{aligned} B + (B+1) &= 1.10 \\ 2B &= 0.10 \\ B &= \boxed{0.05} \end{aligned}

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