Question

A sporting good store sells 2 fishing reels and 14 fishing rods for $280 and 2 fishing reel and 4 fishing rods for $120. Find the rice for each item.

Answer 1

$28 for each fishing reel and $16 for each fishing rod.

Explanation:

2x+14y=280

2x+4y=120

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simplify 2x+14y=280 into x+7y=140

simplify 2x+4y=120 into x+2y=60

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x+7y=140

x+2y=60

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x+7y=140

-(x+2y)=-60

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x+7y=140

-x-2y=-60

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5y=80

y=80/5

y=16

x+7(16)=140

x+112=140

x=140-112

x=28