Mathematics, 02.09.2019 15:30, edjiejwi

Mason spent $15.85 for 3 notebooks and 2 boxes of markers. the boxes of markers cost $3.95 each, and the sales tax was $1.23. mason also used a coupon for $0.75 off his purchase. if each notebook had the same cost, how much did each notebook cost?

Answers: 2

Show answers

Answers

Let X be the cost of 1 notebook and Y be the cost of 1 box of markers.

The presented information gives us the equations:
3X + 2Y = $14.62 (14.62 is the total cost of 15.85 minus the sales tax of 1.23)
Y = 3.95

Plug the value of Y in the second equation into the first equation to get:
3X + 2(3.95) = 14.62

Simplify and solve for X:
3X + 7.9 = 14.62
3X = 6.72
X = 2.24

The cost of each notebook is $2.24

answered: srsnider2017

Solving for the cost of each notebook?
Step 1: You need a variable to represent the notebooks so let used z. It doesn't matter the letter could be x , y , z.
We have 3 notebooks so, 3z (notebooks) will be used when we set up the equation.

We see 2 boxes of markers @ $3.95 each, so 2( 3.95) is our markers.

Problem: 3z + 2(3.95) = $15.85 amount spent w/ taxes

Step 2: Subtract taxes and discount coupon from total amount spend.
15.85 - 1.23 (w/taxes) = $14.62
14.62 - .75 (coupon used) = $13.87

New equation: (without coupons and taxes)

Multiple 2 x 3.95 markers    3z + 2(3.95)= 13.87
  3z+7.90 = 13.87
Subtract:(7.90) form both sides       -7.90 -7.90
  3z =   5.97
Divide 3 from both sides 3 3
z is cost of each notebook   z = $1.99 (cost each notebook)

Check: Multiply 3(1.99) + 2(3.95) + .75(coupon) + 1.23 taxes= $15.85
Add amounts 5.97 + 7.90 + .75 + 1.23 = $15.85
13.87 + .75 + 1.23 = $15.85
14.62 + 1.23 = $15.85
Correct solution both are equal: $15.85 = $15.85

answered: Guest

abde or 1,2,4, 5 is the answer

step-by-step explanation:

Which statements must be true about the reflection of δxyz across ? check all that apply. m∠x'z'y'

answered: Guest

This is too long-standing now get out

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:50, abbieT6943

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Answers: 1

continue

Mathematics, 21.06.2019 19:30, ginocousins06

Fa bus driver leaves her first stop by 7: 00 a. m., her route will take less than 37 minutes. if she leaves after 7: 00 a. m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

Answers: 3

continue

Mathematics, 21.06.2019 20:00, hlgerardip4wbhx

A50% increase followed by 33 1/2% decrease

Answers: 3

continue

Mathematics, 21.06.2019 20:30, janeou17xn

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

Answers: 1

continue

Do you know the correct answer?

Mason spent $15.85 for 3 notebooks and 2 boxes of markers. the boxes of markers cost $3.95 each, and...