The price of 6 pens and 7 pencils is Rs 58. The price of 4 pens and 3 pencils is Rs 32. So how much money will be the price of 3 pens and 3 pencils?
Answers
Answered by
1
Answer:
27 is the answer u need each pen coste 5 and pencil 4
Answered by
2
Answer:
cost of 3 pens is 15
cost of 3 pencils is 12
Step-by-step explanation:
let the cost of 1 pen be x
and the cost of 1 pencil be y
6x + 7y = 58----- equ 1
4x + 3y = 32----- equ 2
7y = 58 - 6x
y = 58 - 6x / 7----- equ 3
substitute equ 3 in equ 2,
4x + 3(58-6x / 7) = 32
4x + 174 - 18x / 7 = 32
28x + 174 - 18x /7 = 32
10x + 174 = 224
10x = 224 - 174
10x = 50
x = 50 / 10
x = 5
substitute value of x in equ 2
4x + 3y = 32
4(5) + 3y = 32
3y = 32 - 20
3y = 12
y = 12/3
y = 4
therefore the cost of 1 pen= x= ₹5
and cost of 1 pencil = y= ₹4
therefore the cost of 3 pens= 3x = 3 X 5 = ₹15
the cost of 3 pencils= 3y = 3 X 4 = ₹ 12
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