Ram bought 40 pens and 50 pencils at the cost of rs 350 and 30 pens and 40 pencils at the cost of rs 270 the cost of one pen and three pencils is
Answers
Answer:
Cost of 1 Pen =x=5
Cost of 1 Pencil=y=3
Cost of 1 pen and 3 pencils=14
Step-by-step explanation:
Let cost of 1 pen = x
therefore cost of 40 pens =40x
cost of 30 pens = 30x
Let the cost of 1 pencil=y
therefore, the cost of 50 pencils=50y
cost of 40 pencils =40y
from condition 1, 40x+50y=350
from condition 2, 30x+40y=270
solve equations simultaneously,
x=5,y=3
{
Solving equations:
40x+50y=350
40x=350-50y
x=(350-50y)/40
put the value of x in equation 2 and get the value of y
then put the value of y in x=(350-50y)/40 and get x
}
Finally, we have to find x+3y=?
so put x=5 and y=3
5+3(3)=14
Given: Ram bought 40 pens and 50 pencils at the cost of rs 350
and 30 pens and 40 pencils at the cost of rs 270
To Find : the cost of one pen and three pencils
Solution:
cost of one pen = Rs x
cost of one pencil = Rs y
40 pens and 50 pencils cost of rs 350
=> 40x + 50y = 350
=> 4x + 5y = 35 Eq1
30 pens and 40 pencils cost of rs 270
=> 30x + 40y = 270
=> 3x + 4y = 27 Eq2
4 * Eq1 - 5 * Eq2
=> x = 5
4x + 5y = 35
=> 20 + 5y = 35
=> y = 3
cost of one pen and three pencils is = x + 3y
= 5 + 3(3)
= 14 Rs
cost of one pen and three pencils is 14 Rs
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