Answered

In 2012, New York produced 226 million pounds more apples than Pennsylvania.Together the two states produced 1214 million pounds of apples. Find the amount of apples grown in each state.

Answer :

720 million pounds apples grown in new york and 494 million pounds apples grown in Pennsylvania

Solution:

Let "x' be the apples grown in new york

Let "y" be the apples grown in pennsylvania

Given that,

Together the two states produced 1214 million pounds of apples

Therefore,

x + y = 1214 -------- eqn 1

New York produced 226 million pounds more apples than Pennsylvania

Therefore,

x = 226 + y ------- eqn 2

Substitute eqn 2 in eqn 1

226 + y + y = 1214

226 + 2y = 1214

2y = 1214 - 226

2y = 988

Divide both sides by 2

y = 494

Substitute y = 494 in eqn 2

x = 226 + 494

x = 720

Thus 720 million pounds apples grown in new york and 494 million pounds  apples grown in Pennsylvania

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