Question

Question 3
(Suggested maximum time: 15 minutes)
(a)
A courier company delivers two sizes of boxes.
Large boxes weigh 5.6 kg and small boxes weigh 4 kg.
On one particular day, the company deliver 25 boxes.
Their total weight is 133.6 kg.
(0)
If the number of 5.6 kg boxes delivered is x and the number of 4 kg boxes delivered
is y, form two equations in terms of x and y to represent the above information.

Answer 1

To write an equation to represent a given information, the equations are to

expresses the information conveyed in the situation.

The two equations that represent the given information are;

• x + y = 25

• 5.6·x + 4·y = 133.6

Reasons:

The given information are;

Mass of the large boxes = 5.6 kg

Mass of the small boxes = 4 kg

Number of boxes delivered = 25 boxes

Total mass of the boxes delivered = 133.6 kg

Number of the 5.6 kg box delivered = x

Number of the 4 kg boxes delivered = y

Required:

To form two equations in terms of x and y to represent the situation.

Solution:

The two equations are;

• The number of boxes delivered = x + y = 25

• Total weight of the boxes delivered = 5.6·x + 4·y = 133.6

Solving the above equations with a graphing calculator gives;

• x = 21, y = 4

Learn more about writing equations here:

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