Question

A municipality van was collecting waste. It collected 20 bags of waste. There were some paper bags and some plastic bags. The fraction of the paper bag was three-fourths of the total bags he collected.


The van continuously collected the waste in the same manner for 10 days. What is the final number of plastic bags and paper bags after 10 days?

• A. 150 paper bags, and 50 plastic bags
• B. 120 paper bags, and 80 plastic bags
• C. 140 paper bags, and 60 plastic bags
• D. 100 paper bags, and 100 plastic bags

Answer 1

The correct option is A 150 paper bags, and 50 plastic bags

The municipality van collects 20 bags of waste every day.

=> In 1 day, paper bags collection = $\frac{3}{4}$ th of total bags

=> $\frac{3}{4}\times 20=15$ bags
Paper bags in one day = 15 bags
And number of plastic bags in one day = 5 bags

Hence, for 10 days,

Municipality van will collect = 20 × 10 = 200 bags of waste

=> Total number of paper bags = 15 × 10 = 150

=> Total number of plastic bags = 5 × 10 = 50