Question

There are a total of $17$ pairs of yellow and pink flip-flops. The image below represents the pairs of one of the colors of flip-flops. Select the option that shows the correct number of pairs of yellow and pink flip-flops.

• A. Yellow: 6; Pink: 11
  
• B. Yellow: 7; Pink: 7
  
• C. Yellow: 9; Pink: 8
  
• D. Yellow: 7; Pink: 10

Answer 1

The correct option is D Yellow: 7; Pink: 10

Solution: Option C

Say: Let’s read the question.

Ask:
What is the total given in the question?
Ans: Total number of pairs of yellow and pink flip-flops is 17.

What does the image represent?
Ans: The image represents the number of pairs of one color of flip-flops, i.e 7.

Do we know which color of flip-flops has 7 pairs?
Ans: No

How can we find the number of pairs of the other color of flip-flops?
Ans: We need to find out which number when added to 7 makes
17.

From the given options, do you think option A is correct?
Ans: No, because we know that one of the colors of flip-flops is 7 in number, and in this option, none of the colors is 7.

Do you think option B is correct?
Ans: No, because again, none of the numbers is 7.

Do you think option C is correct?
Ans: Yes, option C can be correct because one of the numbers is 7 and the total of both the numbers 7 and 10 is 17.

Do you think option D is correct?
Ans: In this option, though both the numbers are 7, however, the total 7 + 7 is equal to 14 and not 17.

What is the number of the other color of flip-flops?
Ans: 10

Hence, option C is the correct answer.

WB: If required, use the whiteboard to draw the complete number frame and write the equation.



Probing Question:
Q. If the number of one of the colors of flip-flops is not given, and only the total is given, what would be a few of the possible combinations of the flip-flops of two colors, other than the correct option?
A: A few possible combinations are:
$5+12=17$
$8+9=17$
$6+11=17$