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After reading about earning money by recycling, Solomon and Marcus are excited to do some recycling themselves. Solomon has some electronics his parents said he could recycle. Marcus has permission to recycle some small household appliances. They looked online and discovered that the local recycling center offers $0.60 per pound for the appliances and $1.50 per pound for the electronics. But there is a $27 hazardous waste fee that has to be paid to recycle electronics, no matter how much you recycle.

Write one equation that represents how much Solomon would earn by recycling electronics. Write another equation that represents Marcus earns from recycling appliances. How many pounds would they have to each recycle so that they earned the same amount of money from the recycle center?

Respuesta :

adioabiola

The equation that represents how much Solomon and Marcus would earn by recycling electronics and appliances are 1.50x - 27 and 0.60x respectively.

  • Marcus:

Earnings per pound for be appliances = $0.60

  • Solomon

Earnings per pound for be electronics = $1.50

Cost of hazardous waste for be electronics = $27

let

  • x = number of pounds of electronics and appliances recycled

Equations

Amount Solomon earns = 1.50x - 27

Amount Marcus earns = 0.60x

  • Equate both equations

1.50x - 27 = 0.60x

-27 = 0.60x - 1.50x

-27 = - 0.9x

  • divide both sides by -0.9

x = -27 / -0.9

x = 30 pounds

Therefore, the number of pounds they have to each recycle so that they earn the same amount of money from the recycle center is 30 pounds

Learn more about recycling:

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The pounds of each recycle to earn the same amount of money is 30 pounds.

Equations that represent the amount earned from recycling appliances and electronics

The equation that can be represent the amount of money that Solomon can earn from recycling appliances is: p = $0.60a

The equation that can be represent the amount of money that Solomon can earn from recycling electronics is: p = $1.50e - $27

Where

  • p = amount earned
  • a = pounds of appliances recycled
  • e = number of electronics recycled

When Solomon earns the same amount of money, the equation representing amount earned from  recycling appliances would be equal to the equation that represents amount earned from  recycling electronics.

$1.50e - $27 = $0.60e

In order to determine the number of pounds, take the following steps:

Combine similar terms

$1.50e - 0.60e = $27

Add similar terms

$0.90 = $27

Divide both sides of the equation by 0.9

$27/ 0.9 = 30 pounds

To learn more about how to determine when two amounts would be the same, please check: https://brainly.com/question/25711114

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