Respuesta :
Answer:
Step-by-step explanation:
Given that total amount available is 90$
x represent the number of pens, and y represent the number of pencils.
cost of each pen is 0.75 and cost of each pencil is 0.15
Then we have total cost = cost of pens + cost of pencils
= [tex]0.75x+0.15y[/tex]=90
Hence option B is right
For finding out the greatest number of each type of writing tool, we can make the other 0 and find out
Hence maximum x = [tex]\frac{90}{0.75} =120[/tex]
maximum y =[tex]\frac{90}{0.15} \\=600[/tex]
Part A
The equation that describes the number of club pens and pencils that the glee club can buy is 0.75x + 0.15y = 90
Part B
Greatest number of pens that the club can buy = 120
Greatest number of pencils that the club can buy = 600
Cost of each pen = $0.75
Number of pens = x
Cost of each pencil = $0.15
Number of pencils = y
Total cost on pens and pencils = $90
(Cost of each pen) x (Number of pens) + (Cost of each pencil)x(Number of pencils) = Total cost
The equation that describes the number of club pens and pencils is:
0.75x + 0.15y = 90
The club buys the greatest number of pens when:
0.75x = 90
x = 90/0.75
x = 120
Greatest number of pens that the club can buy = 120
The club buys the greatest number of pens when:
0.15x = 90
x = 90/0.15
x = 600
Greatest number of pencils that the club can buy = 600
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