Respuesta :
Given:
The price of 3 citrons and 4 fragrant wood apples is 36 units.
The price of 4 citrons and 3 fragrant wood apples is 41 units.
To find: The price of citron and the price of fragrant wood apple?
Explanation:
Let,
The price of citrons = x
The price of fragrant wood apple = y
We can write an equation as
The price of 3 citrons and 4 fragrant wood apples is 36 units.
[tex]3x+4y=36........(1)[/tex]and
The price of 4 citrons and 3 fragrant wood apples is 41 units.
[tex]4x+3y=41......(2)[/tex]Now, Here we use the elimination method,
So, multiply by 4 in Eq.1 and multiply by 3 in Eq. 2
We get,
[tex]\begin{gathered} 12x+16y=144........(3) \\ \\ 12x+9y=123........(4) \end{gathered}[/tex]Now, subract Eq.4 from Eq.3
[tex]\begin{gathered} (12x+16y)-(12x+9y)=144-123 \\ \\ 12x+16y-12x-9y=21 \\ \\ 7y=21 \\ \\ y=\frac{21}{7} \\ \\ y=3 \end{gathered}[/tex]Put y = 3 in Eq.1
We get,
[tex]\begin{gathered} 3x+4(3)=36 \\ \\ 3x+12=36 \\ \\ 3x=36-12 \\ \\ 3x=24 \\ \\ x=\frac{24}{3} \\ \\ x=8 \end{gathered}[/tex]Hence, x = 8 and y = 3
Therefore,
The price of citrons = x = 8 units
The price of fragrant wood apple = y = 3 units
Answer: The price of citrons is 8 units and the price of fragrant wood apple is 3 units.
