Question 1166617: 3 notebooks and 2 pens cost P330. 2 notebooks and 3 pens cost P240. find the cost of 1 notebook and 1 pen. Found 3 solutions by josgarithmetic, greenestamps, ikleyn:Answer by josgarithmetic(39613) (Show Source):
There are endless variations on how to solve this pair of equations.
However, note that you are not asked to find the cost of each notebook and each pen -- you are only asked to find the cost of one notebook and one pen.
The given information makes it very easy to do that.
Add the two equations to find that 5 notebooks and 5 pens cost P570; that means one of each costs P570/5 = P114.
ANSWER: The cost of one notebook and one pen is P114.
Find the cost of 1 notebook and 1 pen together as one purchase (= not separately).
Solution
From the condition, you have these two equations
3N + 2P = 330 (1)
2N + 3P = 240 (2)
Add the equations
5N + 5P = 330 + 240 = 570.
Divide both sides by 5
N + P = 570/5 = 114.
ANSWER. 1 notebook and 1 pen cost together P114.
Solved.
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By the way, English (as any other language) has enough words to formulate any thought (and any Math problem, in particular)
in precise and accurate manner.
In Math, a standard and usual REQUIREMENT by DEFAULT is to formulate the problem in a way when interpretation/interpretations
are not needed and are not necessary.
When interpretation/interpretations IS / (ARE) REQUIRED, it is just DEFECTIVE Math problem.
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