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# The city’s population has grown by 1/6 in 2020, and in 2021 it has grown by another 2/5 from 2020. If in 2019 the population was 155,880 people, what has it become in 2021?

Question:

A
254,604

Explaination

Step 1: Determine the population growth in 2020.

We need to find what is 1/6of 155,880. This is the population growth in 2020. The key words “has grown by 1/6” point to multiplication.

155,880×(1/6) = (155,880/1)×(1/6)

= (155,880×1)/(1×6)

= (155,880)/(6)

= 155,880÷6

= 25,980

Step 2: Find the total population in 2020.

The total population in 2020 is the population in 2019 plus the population growth in 2020.

155,880 + 25,980 = 181,860

Step 3: Determine the population growth in 2021.

We need to find what is 2/5 of 181,860. Again, we find the key words “has grown by 2/5” to be sure that we should use multiplication.

181,860 × (2/5) = (181,860/1) × (2/5)

= (181,860×2)/(1×5)

= (363,720/5)

= 363,720 ÷5

= 72,744

Step 4: Find the total population in 2021.

The total population in 2021 is the population in 2020 plus the population growth in 2021.

181,860 + 72,744 = 254,604

The city’s population in 2021 is 254,604 people.

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