Answer:
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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
Friday night, a pizza parlor sold 5 large pizzas and some medium pizzas. The pizza parlor made a total of $291. How many medium pizzas were sold? Medium pizzas cost $9 and large pizzas cost $15
The large pizza costs $15 and earns $75, and the medium pizzas cost $9 and it earns $216. The large pizzas were sold 5, meanwhile, the medium pizzas were sold 24.
<h3>
Why the pizza parlor sold 24 medium pizzas?</h3>
The pizza parlor made $291 from the large and medium pizzas.
The pizza parlor sold 5 large pizzas with cost $15.
5 × $15 = $75
$291 - $75 = $216
The pizza parlor sold … medium pizzas with cost $9.
$216 ÷ $9 = 24
The pizza parlor sold 24 medium pizzas.
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