Question

The glee club has $90 to spend on pens and pencils. Each pen costs $0. 75 and each pencil costs $0. 15. Write an equation that describes the numbers of pens, x, and pencils, y, that the glee club can buy. What is the greatest number of each type of writing tool that the club can buy?.

Answer 1

Part a: 0.75x + 0.15y = 90 is the equation that indicates how many club pens and pencils the glee club can purchase.

Part B: The maximum number of pens and pencils the club can purchase is 120 and 600 respectively.

Define the term linear equation?

• First order equations include linear equations. In the coordinate system, the linear equations get defined for lines.
• When a homogeneous factor of degree 1 is present in the equation

The stated values in the questions are-

Cost of one pen = $0.75

Let total number of pens be x.

Cost of one pencil = $0.15

Let total number of pencils be y.

Total cost (pens and pencils) = $90

Total cost = (Cost of one pen) x (Number of pens)  +  (Cost of one pencil)x(Number of pencils)

The equation modelling number of club pens and pencils is:

0.75x  +  0.15y    =   90

For the greatest number of pens ;

0.75x  = 90

x  =  90/0.75

x  =  120

Thus, the greatest number of pens bought by club is 120.

For greatest number of pencils;

0.15y = 90

y  =  90/0.15

y  =  600

Thus, the greatest number of pencils bought by club is 600.

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