Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Solving Equations Using Addition or Subtraction
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Exercise 6 Page 253

Practice makes perfect
We want to calculate how long it will take Adam to earn $144. From the exercise, we know that he earns $36 for every 4 hours of work. First, let's calculate the rate for an hour of Adam's work. We will do this by dividing the amount he earns,

$36, by the number of hours worked, 4. 36/4=9 We found that Adam's pay rate is $9 per hour. Next, we will find how many hours he has to work to earn $144. We can do this by dividing $144 by Adam's pay rate. The result will be the number of hours needed to earn the amount from the exerci

se. 144/9=16 As we can see, it will take Adam 16 hours to earn $144.
In Part B, we want to find how long it will take Adam to earn $222. We will use the rate we found in the previous part, $9 per hour of work. Let's divide $222 by 9 to find the number of hours Adam has to work to earn the amount from this part.
222/9
24 69
24 13
We found that to earn $222, Adam has to work for 24 and one-third hours.

Now we want to describe Adam's rate for a 40-hour work week and for a 7-hour day. To do so, we will use the rate we found in Part A again. We will multiply the number of hours by Adam's pay rate for an hour. First, let's do it for a 40-hour work week. 40 * 9 =360 Next, we will do the same for a 7-hour day. 7* 9=63 We found that Adam's rate fir a 40-hour work week is $360 and the rate for a 7-hour day is $63.