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Algebra
Ann went to a shop to buy 2pens and 5 pencils. If the cost of 2 pens were 30 rupees and total cost of the purchase was 80 rupees. How much did one pen and pencil cost?
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3 Replies
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Let the cost of one pen be x and one pencil be y.
Given that, the cost of two pens are 30 Rs.
Therefore,
2x = 30
x = 30/2
x = 15Thus, the cost of one pen is 15 Rs.
Given that, Ann bought 2 pens and 5 pencils and the total cost is 80 Rs.
Therefore,
2x + 5y = 80
Substiute x = 15 in the equation,
2(15) + 5y = 80
30 + 5y = 80
5y = 80 - 30
5y = 50
y = 50/5
y = 10Thus, the cost of one pencil is 10 Rs.
Therefore, cost of one pen is 15 Rs. and cost of one pencil is 10 Rs.
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Let’s assume the cost of one pen is represented by ‘P’ rupees and the cost of one pencil is represented by ‘C’ rupees. According to the given information:
Ann bought 2 pens, so the total cost of the pens would be 2P rupees.
Ann bought 5 pencils, so the total cost of the pencils would be 5C rupees.
The total cost of the purchase was 80 rupees.
From the given information, we can form the equation:
2P + 5C = 80
We also know that the cost of 2 pens is 30 rupees:
2P = 30
To find the cost of one pen and one pencil, we need to solve this system of equations. We can start by solving the second equation for P:
2P = 30
P = 30/2
P = 15
Now, we can substitute this value of P into the first equation:
2P + 5C = 80
2(15) + 5C = 80
30 + 5C = 80
5C = 80 – 30
5C = 50
C = 50/5
C = 10
Therefore, one pen costs 15 rupees and one pencil costs 10 rupees.
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Ann went to a shop to buy 2 pens and 5 pencils. If the cost of 2 pens was 30 rupees and total amount of her purchase was 80 rupees. How much did each pen and pencil cost?
Solution:
Let x be the cost of a pen.
Let y be the cost of a pencil.
The cost of 2 pens are 30 Rs.
So,the algebraic expression is
2x = 30
x = 30/2 = 15
The cost of a pen = 15 Rs
Ann purchase 2 pens and 5 pencils in total amount 80 Rs.
So, the algebraic expression is
2x+5y = 80
2*15+5y = 80
30+5y = 80
5y = 80-30
5y = 50
y = 50/5 = 10
The cost of a pencil = 10 Rs
Answer:
The cost of a pen = 15 Rs
The cost of a pencil = 10 Rs