Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
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
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
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
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
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
