I am trying to help my daughter with her Algebra... PLEASE HELP?

Hi,

S = # of solid

P = # of print

S + P = 480

4S + 6P = 2340

Multiply the first equation by -4 and add the equations to solve.

-4(S + P = 480)

4S + 6P = 2340

-4S - 4P = -1920

4S + 6P = 2340

------------------------

2P = 420

P = 210

If P = 210 and S + P = 480, then S = 270

270 rolls of solid and 210 rolls of print <==ANSWER

I hope that helps!! :-)

Okay first you have to set up some equations that are hidden in the word problem:

$4 for each roll of solid gift wrap

we can define x to be the number of solid gift wrap rolls sold

$6 for each roll of printed gift wrap

we can define 480 - x to be the number of of printed rolls of gift wrap sold since 480 rolls were sold altogther, and if x of them were solid, the rest must be printed.

that gives us the equation

4x+6(480-x) = 2340 since 2340 is the total cost of money brought in by selling wrapping paper

no we can simplify to get:

4x+6*480-6x = 2340

6*480-2x=2340

and just continue to solve for x. After you solve for x make sure you look at the question again to see if you answered it, always do this! So in this problem they don't care what x is, after all we made that up. They want to know how much of each type of wrapping paper was sold, so x was how much solid was sold and 480-x was how many printed rolls were sold.

good luck!

let a be the number of $4 rolls, and b be the number of $6 rolls

a + b = 480--> the # of 4 dollar rolls plus the # of 6 dollar rolls = 480

4a+6b = 2340 --> the total cost of the rolls is $2340

rearrange the first equation a + b = 480 to a = 480 -b

substitute a = 480 -b into 4a+6b = 2340

4a+6b = 2340

4(480 - b) + 6b = 2340

1920 - 4b + 6b = 2340

2b = 2340 - 1920

2b = 420

b = 420/2 = 210

substitute b= 210 into any equation above, the most easy one to do would be a = 480 -b

a = 480 -b

a = 480 - 210

a = 270

so there are 270 $4 rolls, and 210 $6 rolls

Let x = the number of solid

Let y = the number of print

If you sold 480, then x + y = 480. (Solids + Print)

If the solid cost $4 and the print $6, then solid part of the money would be expressed as 4x ($4 times the number you sold, x)

Same for the print ones, that's 6y. So if you add the money together, 4x + 6y = 2340.

Solve for one variable or the other.

First let solid rolls = x and print =y

then from there you get two equations

4x + 6y = 2340

x + y = 480

from there you can solve for x (or y) then when you find x plug your answer into the second equation where you will find y.

System of equations:

4s + 6p = 2340

s + p = 480

s stands for solid

p stands for print

(Trust you know how to solve it)

you can use a system to answer this.

x+y=480

4x+6y=2340

multiply the top by -4 to eliminate the x's so you have

-4x-4y= -1920

4x+6y=2340

so you add those two and you get

2y=420

divide by 2 and y=210

then substitute back in one of the equations, i.e.

x+210=480 so x=270

use a system of equations

4x + 6y=2340

x + y = 480