Answered

Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt has saved $3 and can earn $4 per hour working at his family's restaurant. After how many hours of work will Samantha and Matt have earned the same amount?

Answer :

Answer:

  • 6 hours

Step-by-step explanation:

We know that:

  • Samantha = 15 + 2x
  • Matt = 3 + 4x
  • Samantha = Matt
  • [x = Number of hours]

Solution:

  • 15 + 2x = 3 + 4x
  • => 15 - 3 = -2x + 4x
  • => 12 = 2x
  • => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

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