Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

IP 1
5 marks

A delivery company transports small and large parcels. Each small parcel has a mass of \(2\) kg and each large parcel has a mass of \(5\) kg.
A delivery van is carrying \(x\) small parcels and \(y\) large parcels with a total mass of \(79\) kg.

  1. Form an equation in \(x\) and \(y\) to represent the total mass of the parcels.

    [1]

There are \(23\) parcels altogether.

  1. Form another equation in \(x\) and \(y\), and hence find the number of small parcels and large parcels in the van.

    [4]

Solution:

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Answer:(a) \(2x+5y=79\) (b) \(12\) small parcels and \(11\) large parcels ​

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