Question

Out of a total of $9$ toys, $5$ are card sets and the rest are puzzle sets. Which of the following options shows the correct equations that can be created to form the fact family of the numbers $9,5$, and the number of puzzle sets?

• A. $3+5=8,5+3=8,8–3=5,8–5=3$
• B. $9+5=4,9+4=5,5–4=9,5–9=4$
• C. $4+5=9,5+4=9,9–4=5,9–5=4$
• D. $6+4=10,4+6=10,10–4=6,10–6=5$

Answer 1

The correct option is C $4+5=9,5+4=9,9–4=5,9–5=4$

To find the number of puzzle sets using a number frame, we will place $9$ counters first for the total number of toys, then remove $5$ for the number of card sets. We find that the number of puzzle sets is 4 and the equation framed is $9–5=4$.


If we place $9$ counters first and remove $4$ later, the counters left will be $5$.
$9–4=5$


Similarly, if we place $4$ counters first and $5$ more later, the number of counters will be $9$.
$4+5=9$


And if we place $5$ counters first and $4$ more later, the number of counters will still be $9$.
$5+4=9$