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14. Danny works part-time at Tom's Toy Store. He
worked 84 hours in May and June. Danny worked
one-third as many hours in May as in June.
How many hours did he work in each month?

Sagot :

Mhanifaidn

Answer:

  • 21 hours in May, 63 hours in June

Step-by-step explanation:

Set up equations

  • m - May, j - June
  • m + j = 84
  • m = 1/3j

Solve by substitution, fin the value of j

  • 1/3j + j = 84
  • 4/3j = 84
  • j = 84*3/4
  • j = 63

Find m

  • m + 63 = 84
  • m = 84 - 63
  • m = 21

May be y and June be x

  • x+y=84
  • y=1/3x

Now

Put y from (2) in eq(1)

  • x+1/3x=84
  • 3x+x)3=84
  • 4x/3=84
  • 4x=3(84)
  • x=3(21)
  • x=63

Find y

  • y=1/3(63)
  • y=21
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