Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
give answers to all these questions below using the context of the sentence above
What equation represent how much money Judy will have in total after saving for D days?
What equation represents how much money Elenore will have in total after saving for D days?
What equation would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?
After the number of days it took both to have the same amount of money saved, how much money do they have each?
1) The equation that represents how much money Judy will have in total after saving for D days is: 100 + 5D.
2) The equation that represents how much money Elenore will have in total after saving for D days is: 75 + 7D.
3) The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is: 100 + 5D = 75 + 7D.
4) After the number of days it took both to have the same amount of money saved, the amount of money they each have can be found by substituting the value of D into either Judy's or Elenore's equation.
To answer your questions using the given context:
1. The equation to represent how much money Judy will have in total after saving for D days is:
Total money Judy will have = 100 + (5 * D)
2. The equation to represent how much money Elenore will have in total after saving for D days is:
Total money Elenore will have = 75 + (7 * D)
3. The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
100 + (5 * D) = 75 + (7 * D)
4. After the number of days it took for both Judy and Elenore to have the same amount of money saved, the total money they each have can be found by substituting the value of D into either of their equations. For example, if D is the number of days it took:
Judy's total money = 100 + (5 * D)
Elenore's total money = 75 + (7 * D)
To answer these questions, we need to understand the given information and use it to form equations.
1. How much money Judy will have in total after saving for D days?
Judy is saving $5 per day, so after D days she will have saved a total of $5 * D. To represent this in an equation, we can say:
Total amount of money Judy will have = $100 + ($5 * D)
2. How much money Elenore will have in total after saving for D days?
Elenore is saving $7 per day, so after D days she will have saved a total of $7 * D. To represent this in an equation, we can say:
Total amount of money Elenore will have = $75 + ($7 * D)
3. How many days it will take for Judy and Elenore to have the same amount of money saved?
To find the number of days it takes for Judy and Elenore to have the same amount of money saved, we need to set the two equations equal to each other and solve for D. The equations are:
$100 + ($5 * D) = $75 + ($7 * D)
4. After the number of days it took both to have the same amount of money saved, how much money do they have each?
Once we calculate the value of D from the previous equation, we can substitute that value into either of the original equations to find out how much money they have each.
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
give answers to all these questions below using the context of the sentence above
After the number of days it took both to have the same amount of money saved, how much money do they have each?
To find out how much money Judy and Elenore have each after they have the same amount of money saved, you would substitute the value of D (the number of days it took) into either Judy's or Elenore's equation.
Let's say it took D days for them to have the same amount of money saved. We can use the equation: Total amount of money Judy will have = $100 + ($5 * D) (or Total amount of money Elenore will have = $75 + ($7 * D))
After calculating the value of D, let's say it is 20, you would substitute this value into either equation:
Total amount of money Judy will have after 20 days = $100 + ($5 * 20) = $100 + $100 = $200
Total amount of money Elenore will have after 20 days = $75 + ($7 * 20) = $75 + $140 = $215
So, after 20 days, Judy will have $200 and Elenore will have $215.
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
After the number of days it took both to have the same amount of money saved, how much money do they have each?
options: 175, 15, 275, 162.50, 325
To find out how much money Judy and Elenore have each after they have the same amount of money saved, let's solve the equation we formed earlier:
Total amount of money Judy will have = Total amount of money Elenore will have
$100 + (5 * D) = $75 + (7 * D)
To solve for D, let's subtract $75 from both sides and then divide both sides by the difference in saving rate:
$100 - $75 = (7 * D) - (5 * D)
$25 = 2D
D = $25 / 2
D = 12.5
After 12.5 days, Judy and Elenore will have the same amount of money saved.
To calculate the amount of money they have each after 12.5 days, we can substitute D into either equation.
Total amount of money Judy will have = $100 + ($5 * 12.5) = $100 + $62.50 = $162.50
Total amount of money Elenore will have = $75 + ($7 * 12.5) = $75 + $87.50 = $162.50
So after 12.5 days, both Judy and Elenore will have $162.50 each.
You are running a concession stand at a baseball game. You are selling pizza slices and sodas. Each pizza slice sells for $3.50 and each soda sells for $1.50. At the end of the night, you made a total of $800. You sold a total of 344 pizza slices and sodas combined. You must report the number of pizza slices sold and the number of sodas sold. Which equation would you use to solve this, where P = the number of pizza slices sold and S = the number of sodas sold?
options:
A 3.50P + 1.50S = 800 and P + S = 344
B 3.50S + 1.50P = 344 and P + S = 800
C 3.50S + 1.50P = 800 and P + S = 344
D 3.50P + S = 800 and P + 1.50S = 344
The correct equation to solve this problem is Option A: 3.50P + 1.50S = 800 and P + S = 344.
This is because the first equation represents the total revenue from selling pizza slices and sodas, which is made up of the price of pizza slices ($3.50) multiplied by the number of pizza slices sold (P), plus the price of sodas ($1.50) multiplied by the number of sodas sold (S), which should equal $800.
The second equation represents the total number of pizza slices and sodas sold, which is just the sum of the number of pizza slices (P) and the number of sodas (S), which should equal 344.
Select the statements that correctly describes the solution to this system of equations: 8x-2y=-4 and 4x-y=-2
options (choose all that apply):
A Solve this system by elimination since it is already in standard form and lined up nicely.
B There is exactly one solution to this system of linear equations and it is (2, 0).
C There are infinite solutions to this system of linear equations.
D These lines are parallel, so there is no solution to this system of linear equations.
E There is exactly one solution to this system of linear equations and it is (0, -2).
F Solve this system by substitution since one of the variables is defined by the other without having to do any math.