In 2017 State A produced 779 million pounds more apples than State B. Together the two states produced 1945 pounds of apples find the amount in state A and state B in 2017

Answer: State B = 583 mp; State A = 1,362 mp

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

State A = produced 779 million pounds more apples than State B.

Together the two states produced 1945 million pounds.

Using "x" as the pounds of apples produced by State B.

State A = 779 + X State B = X

State A + State B = 1945

Replacing with the values of both States

779+X+X = 1945

779 + 2X = 1945

2X = 1945-779

X = 1,166 / 2 = 583

We have found the amount in State B.

State B = 583

Replacing on A ...

State A = 779 + X = 779 + 583 = 1,362

State A = 1362 pounds of apples.

State B = 583 pounds of apples.

Step-by-step explanation:

Let X = pounds of apples in State A

While Y = pounds of apples in State B.

From the question,

In 2017,

Since state A produced 779 pound more apples than state B, therefore:

i. X - Y = 779

ii. X + Y = 1945

Solving both equations, we have:

2X = 2724

= 1362 pounds of apples.

Inputting the value of X into the ii. equation:

1362 - Y = 779

Y = 583 pounds of apples.