Math, asked by mohduzaif, 1 year ago

please solve this question no. 11

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mohduzaif: friend please come me answer
mohduzaif: please give me answer

Answers

Answered by zeborg
2
Hope this helps.
Ask for any doubts at any step, and mention if you find any mistake.
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mohduzaif: mujhe in sums me 1 doubt rehta hai
zeborg: Dekho, question mein likha hai 4 pens and 4 pencil boxes ka combined cost 100 Rs. hai. So, we have taken cost of 1 pen as X, and cost of 1 pencil box as Y.
mohduzaif: ok sir
zeborg: Humein ye bhi given hai ke 3 pens ka cost 1 pencil box ke cost se 15 Rs. zyada hai.
zeborg: Equation 1 ka case humein given tha so humne 4x + 4y = 100 ko apna 1st equation assume kara. Ab dusri equation banane ke liye humein dusre case ko represent karna tha, that is 3x = y + 15, it means 3 pens ka cost = 1 pencil box ka cost + 15 Rs.
mohduzaif: sir en savalo me mujhe ek baat samaj nahi ati hai ki three times the cost of a pen is 15 rs jyada hai toh hum pencil me kyo plus Karna hai 15 rs hum pen ke use 15 rs minus bhi tho kar skate hai
zeborg: Yes, isliye humne 3x = 4y + 15 ko baad mein 3x - 15 = 4y likha hai, which means 3 pens ka cost - 15 Rs. = 1 pencil box ka cost.
mohduzaif: thank you sir
zeborg: You're welcome.
zeborg: Edit: In last comment I meant to write 3x = y + 15 and 3x - 15 = y.
Answered by TheCommando
6

Question:

The cost of 4 pens and 4 pencil boxes is Rs. 100. Three times the cost of a pen is Rs. 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box.

Solution:

Let the cost of a pen (in rupees) = x

Let the cost of a pencil box (in rupees) = y

According to question

4x + 4y = 100

x + y = 25 (Equation 1)

3x = y + 15

3x - y = 15 (Equation 2)

Adding Equation 1 and Equation 2

x + y + 3x - y = 25 + 15

4x = 40

x = 10

Putting value in Equation 1

x + y = 25

10 + y = 25

y = 25 - 10

y = 15

Therefore,

Cost of a pen = Rs. 10

Cost of a pencil box = Rs. 15

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