Question

There are 24 candies in Bag 1 and 32 candies in Bag 2. Jax and Jane count the number of candies in two different ways.
Jax counts: $24+\underset{–}{\left(i\right)}=\underset{–}{\left(ii\right)}$
Jane counts: $32+\underset{–}{\left(iii\right)}=\underset{–}{\left(ii\right)}$
Select the correct option to fill in the blanks.

• A. (i) 24 (ii) 56 (iii) 56
• B. (i) 32 (ii) 56 (iii) 24
• C. (i) 56 (ii)32, (iii) 24
• D. (i) 24 (ii)32 (iii) 56

Answer 1

The correct option is B (i) 32 (ii) 56 (iii) 24

Jax counts: $\text{Bag}1+\text{Bag}2=24+\left(i\right)32=\left(ii\right)56$
Jane counts: $\text{Bag}2+\text{Bag}1=32+\left(iii\right)24=\left(ii\right)56$According to the commutative property of addition, changing the order of addends does not change the sum.
So, here (i) 32 (ii) 56 (iii) 24
Hence, Option D is the correct answer.