Daniel,Cheryl and Li Ying earned $550 from their part time jobs. Li Ying earned $28.Daniel earned 4 times as much as the total amount of Cheryll and Li Ying's earnings. How much did Cheryl earn?

Respuesta :

The amount Cheryl earned from the per time job is $82.

The three of them earned $550 from their part time jobs.

Li Ying earned $28.

Daniel earned 4 times as much as the total amount of Cheryl and Li Ying's earnings.

let

x = amount Cheryl earned

y =  amount Daniel earned

Therefore,

  • y = 4(x + 28)

y = 4x + 112

y - 4x = 112

The three of them earned $550. Therefore,

  • x + y + 28 = 550

x + y = 522

Let's combine the equation.

System of equation

y - 4x = 112

x + y = 522

5x = 410

x = 410 / 5

x = 82

Therefore, Cheryl earned $82.

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