Answer: 1.8 servings of soybean and 1.2 servings rice will be needed.
Step-by-step explanation:
Let x be the number of soybeans and y be the number of rice.
Then , According to the question , we have
[tex]14x+4y=30\\\Rightarrow\ 7x+2y=15..................................(1)\\\\ 8x+\frac{1}{2}y = 15\\\Rightarrow\ 16x+y=30.............................(2)[/tex]
Multiply 2 on both the sides of equation (2), we get
[tex]32x+2y=60................................(3)[/tex]
Subtract equation (2) from equation (3), we get
[tex]25x=45\\\\\Rightarrow\ x=1.8[/tex]
Put x = 1.8 in equation (2), we get
[tex]16x+y=30\\\\\Rightarrow\ y=30-16x\\=30-16(1.8)=1.2[/tex]
Hence, 1.8 servings of soybean and 1.2 servings rice will be needed.
