Answer
Burger meal = $8 and Hot dog meal = $6
Step-by-step explanation:
Let's use "x" to represent burger meals and "y" to represent hot dog meals.
Garcia family:
3x + 4y = $48
Baker family:
6x + 2y = $60
We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".
3x + 4y = $48
6x + 2y = $60
Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":
-2 (3x + 4y = $48) ...our new equation would be....
-6x - 8y = -$96
Now to add our two families' equations together...
-6x - 8y = -$96
+
6x + 2y = $60
=
- 6y = -$36
Divide both sides by "-6" to get "y" by itself.
y = $6
We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...
3x + 4(6) = $48
3x + 24 = $48
We want to get our x by itself. First, we can subtract 24 from each side.
3x = $24
Then we will divided both sides by 3 to get x alone.
x = $8
To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:
3(8) + 4(6) = $48
24 + 24 = $48
and...
6(8) + 2(6) = $60
48 + 12 = $60
Answer:
Step-by-step explanation:
hello :
x ÷ y for x = 8 and y = 16 means : 8/16 = 8/(2×8) = 1/2
Answer:
40 Girls.
Step-by-step explanation:
80 multipled by 0.5 = 40
Answer:
- The system of equations is x + y = 85 and 7/20x+2/5y=31
- To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
- B-She used 60 minutes for calling and 25 minutes for data.
Step-by-step explanation:
It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...
x + y = 85
The total of charges is the sum of the products of charge per minute and minutes used:
7/20x + 2/5y = 31.00
We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.
-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)
-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses
y = 25 . . . . . . . . simplify
Then the value of x is
x = 85 -y = 85 -25
x = 60
Make a guess and check table to figure out if you do not know it off the top of your head.
The answer is 7 and 7
