What is the approximate cost of 1 binder and 1 pen, Mathematics

Assignment Help:

At the school bookstore and two binders and three pens cost $12.50. Three binders and five pens cost $19.50. What is the approximate cost of 1 binder and 1 pen?

Let x = the cost of one binder and let y = the cost of one pen. The ?rst statement, "two binders and three pens cost $12.50," translates to the equation 2x + 3y = 12.50. The second statement, "three binders and ?ve pens cost $19.50," translates to the equation: 3x + 5y = 19.50

Multiply the ?rst equation by                  3: 6x + 9y = 37.50
Multiply the second equation by            -2: -6x + -10y = -39.00
Combine the two equations to eliminate  x: -1y = -1.50
Divide by                                             1: y = 1.50

Thus, the cost of one pen is $1.50. Since the cost of 2 binders and 3 pens is 12.50, substitute y 1.50 within the ?rst equation: 3 × $1.50 = $4.50; $12.50 - 4.50 = $8.00; $8.00 ÷ 2= $4.00, so every binder is $4.00. The total cost of 1 binder and 1 pen is $4.00 + $1.50 = $5.50.


Related Discussions:- What is the approximate cost of 1 binder and 1 pen

They preferred comedies, A survey was done where a random sample of people ...

A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group and t

Geometric applications to the cross product, Geometric Applications to the ...

Geometric Applications to the Cross Product There are a so many geometric applications to the cross product also.  Assume we have three vectors a → , b → and c → and we make

#titl., class 10 Q.trigonometric formula of 1 term

class 10 Q.trigonometric formula of 1 term

Slope-intercept form, Slope-intercept form The ultimate special form of...

Slope-intercept form The ultimate special form of the equation of the line is possibly the one that most people are familiar with.  It is the slope-intercept form.  In this if

Methods of set representation, I have an assignment of set theory, please E...

I have an assignment of set theory, please Explain Methods of set representation.

Define symmetric, Define symmetric, asymmetric and antisymmetric relations....

Define symmetric, asymmetric and antisymmetric relations.    Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,

Estimate the distance to this star, To find the distance to nearby stars, t...

To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, t

Write algorithm for the multiplication of a 3-digit number, E1) Why do we s...

E1) Why do we shift the place by one, of the result in the second row of the calculation, when we multiply, say, 35 by 237 E2) Write down the algorithm for the multiplication of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd