Now that we've got into the hang of it, we're going to extend our knowledge further of coding and solving worded problems where they want you to find an unknown with 1 variable.

The process that you follow is the same as previous checkpoints, however, there's 1 more addition being:

• Illustrate the concept/images if you're unsure

While we don't have much in terms of theory, this checkpoint's learning is heavily dependent on the practice questions. So… watch the video carefully as we go through 6 example questions.

Example 1

A bag of clothes weighs 9 kilograms and another weighs 21 kilograms. How much weight must be removed from the second case and placed in the first so that they are both of equal weight.

A 5 kilograms

B 6 kilograms

C 7 kilograms

D 15 kilograms

Example 2

One box has 4.7 kilograms of chocolates. Another box has 2.5 kilograms of chocolates. How much weight must be removed from the first box and placed in the second so that they are both of equal weight.

A 0.9 kilograms

B 1.1 kilograms

C 2.2 kilograms

D 3.6 kilograms

Example 3

Kyle runs 100 meters South, then 200 meters East, then300 meters North, then 300 meters West, then 200 meters South and then 100 meters West.

How far from the start is he?

A 100 meters

B 200 meters

C 400 meters

D 1200 meters

Example 4

If it is known that every 2 grams of sodium generates 40 calories, and 3 grams of sugar generates 60 calories, to ensure that lowest number of calories, a person should consume:

(a) A fruit bar with 400 base calories and 6 grams of sugar

(b) 200 calories of oatmeal with 4.5 grams of sugar

(c) 15 grams of sugar

(d) 300 calorie steak with 6 grams of salt

(e) A 400 calorie soft drink

Example 5

The probability of winning $10 in a small lottery game is 5%. The probability of winning $20 in a big lottery game is 10%. The cost of the games are $2 and $5 respectively. If an individual has already lost a small lottery game, which option should the individual pursue to minimise loss:

(a) 1 big lottery game

(b) No participation

(c) 2 small lottery games

(d) 1 small lottery game and 1 big lottery game

(e) None of the above

Example 6

Lee is making a cake. If the ratio for flour and sugar is 5:2, the ratio for sugar and butter is 4:1 and Lee needs 200grams of butter, it is correct to judge that:

(a) Lee needs twice as much flour as butter.

(b) Lee needs 2000 grams of flour.

(c) Lee needs 500 grams of sugar

(d) The ratio for flour and butter is 9:1

(e) None of the above

Key Rules to remember:

• Illustrate the concept.
• Notate key elements.
• Evaluate and choose your correct answer.

Now it's time to do your assignment.

1. Download the assignment question here.
2. Print it out or if you want to do it electronically, save it.
3. Complete the questions to it.
4. Then check the solutions on the video below.
5. For the answers in text instead of video, download them here.