Riley is saving up to buy a new television. she needs a total of $1,049.77. riley has saved $200.79 already and earns $77.18 per week at her job. how many weeks does riley need to work to save enough money to buy the new television?

11 weeks are required for Riley to work to save enough money to buy the new television

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

Therefore 11 weeks are required for her to work to save enough money to buy the new television

Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

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