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Question

46 bottles of ketchup were delivered within the city. 12 more bottles were delivered within the city than outside it. How many bottles of ketchup were delivered outside the city? Use the given number line to select the option with the correct set of equations.

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Solution

Say:
Using the number line, let’s find the number of bottles of ketchup delivered outside the city and identify the correct set of equations.

Steps:
  • Number of bottles delivered within the city = 46
  • 12 more bottles were delivered within the city than outside the city.
  • Therefore, the number of bottles delivered outside the city = 46 - 12
  • To solve 46 - 12, we break apart 12 into 6 and 6.
  • We first take 6 backward jumps from 46, to reach 40. 46 - 6 = 40.
  • We then take 6 more backward jumps and reach 34. 40 - 6 = 34.
  • Hence, option B is the answer.

Probing Question:
Q. How else can we break down 12 to subtract it from 46 instead of breaking it down into 6 and 6?
A: We can break down 12 into 10 and 2. Then, we subtract 10 from 46 to get 36. Next, we subtract 2 from 36 to get 34 as the answer.

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