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Question:

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?

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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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