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MissTica
3 years ago
15

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.
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0
<h3>720 million pounds apples grown in new york and 494 million pounds apples grown in Pennsylvania </h3>

<em><u>Solution:</u></em>

Let "x' be the apples grown in new york

Let "y" be the apples grown in pennsylvania

Given that,

<em><u>Together the two states produced 1214 million pounds of apples</u></em>

Therefore,

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

<em><u>New York produced 226 million pounds more apples than Pennsylvania</u></em>

Therefore,

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

<em><u>Substitute eqn 2 in eqn 1</u></em>

226 + y + y = 1214

226 + 2y = 1214

2y = 1214 - 226

2y = 988

Divide both sides by 2

<h3>y = 494</h3>

Substitute y = 494 in eqn 2

x = 226 + 494

<h3>x = 720</h3>

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

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