SOLUTION: Ramasamy wants to buy pens,pencils and notebooks for the new school term.He has 102$ to spend.The price of a pens is 5$,a pencils is 3$,and a notebook 9$.Ramasamy intends to spend

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Question 1154251: Ramasamy wants to buy pens,pencils and notebooks for the new school term.He has 102$ to spend.The price of a pens is 5$,a pencils is 3$,and a notebook 9$.Ramasamy intends to spend the same amount of money on pens and pencils.The total of number of pens and pencils to be purchased must be equal to the number of notebooks to be purchased.How many of each item will be purchased?Write a system of equations to solve this problem.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!

ITEM QTY,VARIABLE PRICE COST Pens x 5 5x Pencils y 3 3y Notebooks n=x+y 9 9n=9(x+y)

according to description.

Also limit is 102 dollars, so .

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If EQUAL cost to 102 and substitute for 3y, then:

-------------- 3 pens, 5 pencils, 8 notebooks

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

With a little bit of logical reasoning, you can solve this problem using a single variable and a single equation.

Given that a pen costs $5 and a pencil costs $3, and that the cost of the pens is to be the same as the cost of the pencils, we can start with

let 3x = number of pens
let 5x = number of pencils

The number of notebooks is to be the same as the total number of pens and pencils:

then 8x = number of notebooks

The total cost, at $5 per pen, $3 per pencil, and $9 per notebook, is to be $102:

ANSWERS:
# of pens = 3x = 3
# of pencils = 5x = 5
# of notebooks = 8x = 8