## Problem Solving

 1.4 Problem Solving
 EXAMPLE 1

At the end of 2014, several states in Malaysia were hit by severe floods. The table below shows an estimated number of flood victims in three states.

Calculate the total number of flood victims in the three states.

 State Estimated Number of Victims (people) Kelantan 45 400 Terengganu 10 800 less than Kelantan Pahang 33 000

SOLUTION:

Terengganu:
45 400 - 10 800 = 34 600 people
$$\begin {array}{rr} \\ \space\space 4\space5\,\space\space4\space0\space0\\ - \quad\space1\space0\,\space\space8\space0\space0 \\\hline\space\space3\space4\,\space\space6\space0\space0\\\hline \end {array}$$

Total number of flood victims in the three states:
45 400 + 34 600 + 33 000 = 113 000
$$\begin {array}{rr} \\ \space\space\small{\color{red}1}\space \small{\color{red}1}\space\space\space\space\space\quad\quad \\ \space 4\space5\,\space\space4\space0\space0\\ \quad\space3\space4\,\space\space6\space0\space0\\ + \quad\space3\space3\,\space\space0\space0\space0 \\\hline1\space\space1\space3\,\space\space0\space0\space0\\\hline \end {array}$$

 EXAMPLE 2

In 2015, a factory produced $$\frac{1}{5}$$ million kilogram of cooking oil for export. Production targets in each subsequent year is 2 times the mass of cooking oil compared to the previous year. What is the mass, in kg, of cooking oil produced in 2019?

SOLUTION:

$$\frac{1}{5}\times1\ 000\ 000=200\ 000$$

 Year Mass (kg) 2015 200 000 2016 2 x 200 000 = 400 000 2017 2 x 400 000 = 800 000 2018 2 x 800 000 = 1 600 000 2019 2 x 1 600 000 = 3 200 000

Mass of cooking oil produced in 2019 is 3 200 000 kg.

## Problem Solving

 1.4 Problem Solving
 EXAMPLE 1

At the end of 2014, several states in Malaysia were hit by severe floods. The table below shows an estimated number of flood victims in three states.

Calculate the total number of flood victims in the three states.

 State Estimated Number of Victims (people) Kelantan 45 400 Terengganu 10 800 less than Kelantan Pahang 33 000

SOLUTION:

Terengganu:
45 400 - 10 800 = 34 600 people
$$\begin {array}{rr} \\ \space\space 4\space5\,\space\space4\space0\space0\\ - \quad\space1\space0\,\space\space8\space0\space0 \\\hline\space\space3\space4\,\space\space6\space0\space0\\\hline \end {array}$$

Total number of flood victims in the three states:
45 400 + 34 600 + 33 000 = 113 000
$$\begin {array}{rr} \\ \space\space\small{\color{red}1}\space \small{\color{red}1}\space\space\space\space\space\quad\quad \\ \space 4\space5\,\space\space4\space0\space0\\ \quad\space3\space4\,\space\space6\space0\space0\\ + \quad\space3\space3\,\space\space0\space0\space0 \\\hline1\space\space1\space3\,\space\space0\space0\space0\\\hline \end {array}$$

 EXAMPLE 2

In 2015, a factory produced $$\frac{1}{5}$$ million kilogram of cooking oil for export. Production targets in each subsequent year is 2 times the mass of cooking oil compared to the previous year. What is the mass, in kg, of cooking oil produced in 2019?

SOLUTION:

$$\frac{1}{5}\times1\ 000\ 000=200\ 000$$

 Year Mass (kg) 2015 200 000 2016 2 x 200 000 = 400 000 2017 2 x 400 000 = 800 000 2018 2 x 800 000 = 1 600 000 2019 2 x 1 600 000 = 3 200 000

Mass of cooking oil produced in 2019 is 3 200 000 kg.