Question

There are $182$ cashew packets, $178$ almond packets, and $163$ raisin packets in a box. Out of the total number of packets, $135$ packets were spoiled and $163$ were distributed. How many packets are left in the box?

Answer 1

To find the total number of packets, we add $182,178,$ and $163$.
We use the partial sum strategy to add $182,178,$ and $163$.

• $182$ can be written as $100+80+2$.
• $178$ can be written as $100+70+8$.
• $163$ can be written as $100+60+3$.
• We add $2,8,$ and $3$ to get $13;80,70,$ and $60$ to get $210$; and $100,100,$ and $100$ to get $300$.
• Hence, $182+178+163=523$.
• The total number of packets in the box is $523$.

To find the number of packets left in the box, we first subtract $135$ from $523$, and then subtract $163$ from the remaining value.
We use the partial sum strategy to first subtract $135$ from $523$, and then subtract $163$ from the remaining value.

• $225$ packs are left in the box.

Hence, option A is the correct answer.