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The city’s population has grown by \(\frac{\mathrm{1} }{\mathrm{6}} \) in 2020, and in 2021 it has grown by another \(\frac{\mathrm{2} }{\mathrm{5}} \) from 2020. If in 2019 the population was 155,880 people, what has it become in 2021?

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Question:

A
254,604

explanation

Step 1: Determine the population growth in 2020.

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

\(155,880×(\frac{{1} }{{6}} \)) = (\(\frac{{155,880} }{{1}} \)) × (\(\frac{{1} }{{6}} \))

= (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 keywords “has grown by 2/5” to be sure that we should use multiplication.

\(181,860 × (\frac{{2} }{{5}} \)) = (\(\frac{{181,860} }{{1}} \)) × (\(\frac{{2} }{{5}} \))

= (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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Comments

mayowa oluro

1 year ago

Helpful and well structured guide for wrong questions.

Kelechi Nwachukwu

1 year ago

I love the explanation given after each correct or wrong answers

Kendra Greathouse

1 year ago

Very helpful!