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Natasha_Volkova [10]
3 years ago
5

Nathan Alexander wants to purchase ears of corn for a family reunion picnic. A farmers' market near his home offers six ears of

corn for $1.25, 12 ears of corn for $2.64, or 36 ears of corn for $7.20. Which is the best buy?
Mathematics
2 answers:
Otrada [13]3 years ago
3 0
6 for $1.25= $1.25/6= $0.21
36 for $7.20= $7.20/36= $0.20

So the 36 ears for $7.20 is the better buy by 1cent
Yanka [14]3 years ago
3 0
36 ears of corn for 7.20
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Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

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\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

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