Calculate X, can anyone help please
1 answer:
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Answer:
Price of hamburgers = $2
Price of white-dogs = $3
Step-by-step explanation:
Let
The number price of hamburgers be x
The number price of white-dogs be y
Then the first family buys 3 hamburgers and 2 white -dogs for $13
3x + 2y = 13-----------------------------(1)
Another first family buys 2 hamburgers and 5 white -dogs for $16
2x + 5y = 16----------------------------(2)
To solve let us multiply eq(1) by 2 and eq(2) by 3, we get
6x + 4y = 26-----------------------------(3)
6x + 15y = 48----------------------------(4)
subracting (3) from (4)
6x + 15y = 48
6x + 4y = 26
(-)
-------------------------
11y = 22
---------------------------
y =2
Now substituting the value of y in eq(1),
3x + 2(2) = 13
3x + 4 = 13
3x = 13-4
3x = 9
x =
x =3
Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us:
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us:
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):
Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get:
Which tells us that the smaller rocket gets 24 kiloliters of fuel.