Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Respuesta :

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

  • Earnings = $9 per hour
  • Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

  • Earnings = $7 per hour
  • Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

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