Question

A technical pen x cost 50 pesos and a regular pen y costs 25 pesos. Determine how many of each kind of pens Gladys can buy for 1000 pesos. What is the equation of the problem?​

Answer 1

Answer:

79

Step-by-step explanation:

The cost of 1 book=x

The cost of 1 pen=y

Then the linear equation is ⇒5x+7y=79

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Answer 2

Given:

Cost of technical pen = 50 pesos

Cost of regular pen = 25 pesos

Amount of money Gladys has to buy pens of each kind = 1000 pesos

To find:

Equation of the problem.

Solution:

Let no. of technical pens be $x$ and no. of regular pens be $y$. The cost of 1 pen for each kind is given as 50 and 25.

If the cost of 1 technical pen is 50 pesos, then the cost of $x$ number of technical pens can be determined by multiplying $x$ with the cost of 1 technical pen, i.e.,

Cost of $x$ technical pens$=x$ × Cost of 1 technical pen $=50x$

If the cost of 1 regular pen is 25 pesos, then the cost of  $y$ number of regular pens can be determined by multiplying  $y$ with the cost of 1 regular pen, i.e.,

Cost of  $y$ regular pens $=y$ × Cost of 1 regular pen $=25y$

Gladys now has 1000 pesos and she wants to buy pens from both kinds. So, we add them both $50x$ and $25y$ which costs both of them to 1000 pesos, i.e.,

$50x+25y=1000$

This is the equation of the problem.

The equation of the problem where Gladys has 1000 pesos to buy $x$ no. of technical pens that cost 50 pesos and $y$ no. of regular pens that cost 25 pesos is given by $50x+25y=1000$.