Question

Out of $18$ food items at a party, $5$ are pizzas and the remaining are burgers. Which of the following options shows the correct equations that can be created to form the fact family of the numbers $5,18,$ and the number of burgers?

• A. $5+13=18,13+5=18,18–5=13,18–13=5$
• B. $5+18=13,18+5=13,5–18=13,13–18=5$
• C. $12+5=18,5+12=18,18–5=12,18–12=5$
• D. $6+2=8,2+6=8,8–6=2,8–2=6$

Answer 1

The correct option is A $5+13=18,13+5=18,18–5=13,18–13=5$

Say: Let’s read the question.

Ask:
$\bullet$ What do we have to do here?
Ans: We need to frame the fact family equations using the numbers $5,18,$ and the number of burgers.
$\bullet$ How many food items are there in total?
Ans: $18$
$\bullet$ How many pizzas are there?
Ans: $5$
$\bullet$ How will we find the number of burgers?
Ans: By subtracting the number of pizzas, i.e., $5$ from the total number of food items, i.e., $18.$
$\bullet$ What equation will be framed?
Ans: $18–5=13$
$\bullet$ So, how many burgers are there?
Ans: $13$

Say: Now that we know all the three numbers needed to frame fact family equations, let’s frame the remaining addition and subtraction equations.

Ask:
Since we already framed the equation $18–5=13,$ what other subtraction equation can we frame?
Ans: $18–13=5$
$\bullet$ Using the same three numbers, i.e., $5,18$ and $13,$ what addition equations can be framed?
Ans: $5+13=18$ and $13+5=18$
$\bullet$ What are the four related addition and subtraction equations framed?
Ans: $5+13=18,13+5=18,18–5=13,18–13=5$

Hence, Option C is correct.

WB: If required, use the whiteboard to represent the total number of food items and check the number of pizzas as shown to find the number of burgers, and write the related addition and subtraction equations.