Question

A juice box has $291$ bottles of orange juice, $172$ bottles of grape juice, and $137$ bottles of apple juice. Out of the total bottles of juice, $233$ bottles were broken and $189$ bottles crossed the expiry date. How many bottles can be distributed?

Answer 1

To find the total bottles of juice, we add $291,172$, and $137$.
We use the partial sum strategy to add $291,172,$ and $137$.

• $291$ can be written as $200+90+1$.
• $172$ can be written as $100+70+2$.
• $137$ can be written as $100+30+7$.
• We add $1,2,$ and $7$ to get $10;90,70,$ and $30$ to get $190;200,100,$ and $100$ to get $400$.
• Hence, $291+172+137=600$.
• There are a total of $600$ bottles of juice in the box.

To find the number of bottles left in the box, we first subtract $233$ from $600$, and then subtract $189$ from the remaining value.
We use the partial sum strategy to 1st subtract $233$ from $600$, and then subtract $189$ from the remaining value.

• $178$ bottles of juice are left in the box

Hence, option C is the correct answer.