$\"\"$

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In a gymnastics competition, an athletes final score is calculated by taking $\"\"$ of the average technical score and adding $\"\"$ of the artistic score.

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All scores are out of $\"\"$ , and one gymnast has a $\"\"$ average technical score.

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What does the gymnast need to have a final score of at least $\"\"$ .

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Write an equation.

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Let $\"\"$ be the artistic score of the gymnast.

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The equation is $\"\"$ .

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Find final score of at least $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Multiply)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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So, the gymnast needs to have $\"\"$ of artistic score to have a final score of at least $\"\"$ .

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$\"\"$

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The gymnast needs to have $\"\"$ of artistic score to have a final score of at least $\"\"$ .