**Dividing integers word problems :**

We can use integer division to solve real-world problems. For some problems, we may need to perform more than one step.

And also, we have to be sure to check that the sign of the quotient makes sense for the situation.

**Example 1 : **

Jake answers questions in two different online Olympic trivia quizzes. In each quiz, he loses points when he gives an incorrect answer. The table shows the points lost for each wrong answer in each quiz and Jake’s total points lost in each quiz. In which quiz did he have more wrong answers ?

**Solution : **

**Step 1 : **

To find the number of incorrect answers in the winter quiz, divide the total points lost by the number of points lost per wrong answer.

-33 ÷ (-3) = 11

**Step 2 : **

Find the number of incorrect answers Jake gave in the summer quiz. Divide the total points lost by the number of points lost per wrong answer.

-56 ÷ (-7) = 8

**Step 3 :**

Compare the numbers of wrong answers.

11 > 8

So, Jake had more wrong answers in the winter quiz.

**Example 2 : **

A penalty in Meteor-Mania is -5 seconds. A penalty in Cosmic Calamity is -7 seconds. Yolanda had penalties totaling -25 seconds in a game of Meteor-Mania and -35 seconds in a game of Cosmic Calamity. In which game did Yolanda receive more penalties ? Justify your answer.

**Solution : **

**Step 1 : **

To find the number of times Yolanda received penalties in Meteor-Mania, divide the total penalties by penalties per time.

-25 ÷ (-5) = 5

In the game of Meteor-Mania, she received penalties 5 times

**Step 2 : **

To find the number of times Yolanda received penalties in Cosmic Calamity, divide the total penalties by penalties per time.

-35 ÷ (-7) = 5

In the game of Cosmic Calamity, she received penalties 5 times.

**Step 3 :**

Compare the number of times she received penalties in both the games.

5 = 5

Yolanda received the same number of penalties in each game

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