Question

If 6 garbage trucks can collect the trash of 36 homes in a day. How many trucks are needed to collect in 180 houses?

Answer 1

In the question, we are given that 6 garbage trucks can collect the trash of 36 homes in a day. We can find how many trucks are needed to collect in 180 houses below.

Step-by-step explanation

`\begin{gathered} \text{If 6 trucks collect for 36 houses} \\ x\text{ truck will collect for }180\text{ houses} \\ \text{Therefore using direct proportion} \\ (6)/(x)=(36)/(180) \\ (6)/(x)=(1)/(5) \\ \text{cross multiply} \\ x=30 \end{gathered}`

Answer: 30 trucks