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max2010maxim [7]
3 years ago
7

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

<u>Answer:</u>

  • It will take 1 week for both classmates to catch up with each other
  • Each child has passed about 9 tests.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • Q = 8 + 1(w)
  • S = 4 + 5(w)
  • Q = S

<u>Work:</u>

  • 8 + w = 4 + 5w
  • => 8 - 4 = -w + 5w
  • => 4 = 4w
  • => w = 1

<u>Hence, it will take 1 week for both classmates to catch up with each other. Now, let's substitute the value of w into the first equation to find how many tests have each child passed.</u>

  • Q = 8 + (w)
  • => Q = 8 + 1
  • => Q = 9

Hence, <u>each child has passed about 9 tests.</u>

Hoped this helped.

BrainiacUser1357

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