The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop?
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let the no of pens be = x
let the no of pencils be = y
pens/pencils = 3/2
x/y= 3/2
2x = 3y
2x - 3y = 0. (1)
and,
x + y /2 = 180
x + y = 360. (2)
(1) - 2×(2) = 2x - 3y - 2x - 2y = -360×2
= -5y = -720
y = 144
substitute y = 144 in (1)
x + 144 = 360
x = 216
hope it helps you
mark it as brainiest
let the no of pencils be = y
pens/pencils = 3/2
x/y= 3/2
2x = 3y
2x - 3y = 0. (1)
and,
x + y /2 = 180
x + y = 360. (2)
(1) - 2×(2) = 2x - 3y - 2x - 2y = -360×2
= -5y = -720
y = 144
substitute y = 144 in (1)
x + 144 = 360
x = 216
hope it helps you
mark it as brainiest
Answered by
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Explanation:
Given ratio of pens and pencils = 3 :2
Number of Pens = 3x
Number of Pencils = 2x
Average number of pencils & Pens = 3x + 2x2 = 180
5x = 360
=> x = 72
Hence, the number of pencils = 2x = 72 x 2 = 144.
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