Cost!

Algebra Level 3

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? \, \, Submit your answer in Cents.

Details: One Dollar = 100 cents.

0.05 5 0.1 10

Samara Simha Reddy by Samara Simha Reddy , 22, India

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1 solution

Let x be the cost of ball . \large \displaystyle \color{#D61F06}{\text{Let }x \text{ be the cost of ball}}.

⟹ x + ( x + 100 ) = 110 \large \displaystyle \implies \color{#3D99F6}{x + (x + 100) = 110}

⟹ 2 x = 10 \large \displaystyle \implies \color{#20A900}{2x = 10}

⟹ x = 5 \large \displaystyle \implies \color{#69047E}{x = 5}

So, the cost of the ball is 5 cents . \large \displaystyle \color{#EC7300}{\text{So, the cost of the ball is }} \color{#E81990}{\boxed{5}} \color{#EC7300}{\text{ cents}}.

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