A division problem is unsolved, so it is an unknown factor until ithe problem is solved.
let the number of adult tickets be x and the number of children tickets be y
3x + y = 164...equ(1)
2x + 3y = 174....equ(2)
multiplying equation 1 by 3
9x + 3y = 492
subtracting equation 2 from 1
7x = 318
x = 45.43 dollars
substituting the value of x into the equation
3(45.428) + y = 164
y = 164 - 3(45.428)
∴y = 27.71 dollars
Let S be the amount in a savings account.
Let m be the number of months.
General equation
S = 132 + 27m
Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321
Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
1. 8b+40
2. -36n+16
3. -6y-3
4. 4k+32
5. 3n^2 (squared)
Answer:
Chocolate chip dough = $12
Gingerbread cookie dough = $17
Step-by-step explanation:
Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough. Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:
6c + 12g = 276
Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:
8c + 3g = 147
Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':
-4(8c + 3g = 147) = -32c - 12g = -588
Add the two equations:
6c + 12g = 276
+ <u> -32c - 12g = -588</u>
-26c = -312 or c = $12
Plug the value of 'c' into the first equation:
6(12) + 12g = 276 or 72 + 12g = 276 or g = $17
