Math, asked by sahoobindu18, 5 hours ago

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Section 1 of 6 Quantative/
Revisit
Question #5
Nine pens, four books and six erasers cost Rs. 228. Four pens, six books and nine erasers also cost the same. What is the cost of
five pens?​

Answers

Answered by chalkisonali
0

Answer:

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Step-by-step explanation:

step wise thinking beacaus it is

Answered by qwvilla
0

Question :

Nine pens, four books and six erasers cost Rs. 228. Four pens, six books and nine erasers also cost the same. What is the cost of five pens?

Answer :

The cost of 5pens is Rs. ( 2280 - 50y - 75z ) / 13

Given :

Cost price of nine pens, four books and six erasers = Rs.228

Cost price of four pens, six books and nine erasers = Rs.228

To find :

Cost price of five pens

Solution :

Let the cost of one pen be Rs.x

Let the cost of one book be Rs.y

Let the cost of one eraser be Rs.z

Hence ,

The cost of 9 pens = 9x

The cost of 4 books = 4y

The cost of 6 erasers = 6z

According to the problem ,

9x + 4y + 6z = 228......i

Also,

The cost of 4 pens = 4x

The cost of 6 books = 6x

The cost of 9 erasers = 9z

According to the problem ,

4x + 6y + 9z = 228......ii

Adding equations i and ii :

(9x + 4y + 6z ) + (4x + 6y + 9z) = 228 + 228

=> 13x + 10y + 15z = 456

=> 13x = 456 - 10y - 15z

=> x = ( 456 - 10y - 15z) /13

The cost of 1 pen is Rs.( 456 - 10y - 15z) /13

Hence , the cost of 5 pens = 5 × ( 456 - 10y - 15z) /13

=Rs. ( 2280 - 50y - 75z ) / 13

Therefore, the cost of 5pens is Rs. ( 2280 - 50y - 75z ) / 13

#SPJ2

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