Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as
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The fill up for the 3rd step is y - 250 = 340x.
- The fill up of the 5th step is
- The fill up of the 6th step is
- The justification for the 2nd step is subtraction PE.
- The justification for the 4th step is division PE.
Note that:
y-250 = 250 + 340 x - 250
y = 250 + 340x.
Make x the subject of the formula:
y - 250 = 340x.
then y-250/340 = x
Then
The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:
y-250 = 250 + 340 x - 250
y= 250 + 340x - 250 + 250
Note that (-250 + 250) = 0
y = 250 + 340x.
Lastly, The fill up of the 6th step is substitution of the amount of money saved and then simplifying it.
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