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A sporting goods store sells 3 fishing reels and 4 fishing rods for $523. Later, they sell 9 fishing reels and 3 fishing rods for $507. Find the price of each item.
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A sporting goods store sells 3 fishing reels and 4 fishing rods for $523. Later, they sell 9 fishing reels and 3 fishing rods for $507. Find the price of each item.

User Neeraj Sharma
by
7.9k points

1 Answer

2 votes
-3(3f+4s=523)+(9f+3s=507)

-9f-12s+9f+3s=-1569+507

-9s=-1062

s=118, making 3f+4s=523 become:

3f+472=523

3f=51

f=17

So the reels are $17 each and the rods are $118 each.
User Lubos
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8.1k points
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