L.5 Unit rates 2NB You've won a new prize! Go to your game board. Ivan's office recycled a total of 55 kilograms of paper over 5 weeks. After 9 weeks, how many kilograms of paper will Ivan's office have recycled? Solve using unit rates. kilograms

1 answer

To find out how many kilograms of paper Ivan's office will have recycled after 9 weeks, we first need to determine the unit rate, which is the amount of paper recycled per week.

  1. Calculate the unit rate:

    • Ivan's office recycled a total of 55 kilograms over 5 weeks.
    • To find the unit rate (kilograms per week), we divide the total kilograms by the number of weeks: \[ \text{Unit Rate} = \frac{55 \text{ kg}}{5 \text{ weeks}} = 11 \text{ kg/week} \]
  2. Calculate the total recycled after 9 weeks:

    • Now that we know the unit rate, we multiply it by the number of weeks (9) to find the total kilograms recycled: \[ \text{Total kg after 9 weeks} = 11 \text{ kg/week} \times 9 \text{ weeks} = 99 \text{ kg} \]

So, after 9 weeks, Ivan's office will have recycled 99 kilograms of paper.