How many visits needed for a free ticket?

Madelyn has a points card for a movie theater. She receives 70 rewards points just for signing up. She earns 4.5 points for each visit to the movie theater. She needs 115 points for a free movie ticket. How many visits must Madelyn make to earn a free movie ticket?

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x = number of visits needed to earn a free ticket

70 + 4.5x = 115  {received 70 for sign-up, receives 4.5 each visit, need to equal 115}
4.5x = 45  {subtracted 70 from each side}
x = 10  {divided each side by 4.5}

she needs 10 visits to earn a free ticket

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