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VikaD [51]
3 years ago
7

Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry

Mathematics
1 answer:
amid [387]3 years ago
4 0

Lets assume, Sally has X pound of potatoes in her pantry.

So, 4/3 of the potatoes Sally has in her pantry = \frac{4}{3}X

Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that \frac{4}{3}X

So the representing equation will be:

\frac{2}{3} =  \frac{1}{3}+ \frac{4}{3}X

\frac{2}{3} - \frac{1}{3} = \frac{4}{3} X (subtracting \frac{1}{3} from both sides)

\frac{1}{3}= \frac{4}{3}X

1= 4X (multiplying both sides by 3)

X =\frac{1}{4}

So, Sally has \frac{1}{4} pound of potatoes in her pantry.

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Let us denote the number of tiles by T.

In the first store, if Darin bought T tiles, he would need to spend:
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In the second store, if Darin bought T tiles, he would need to spend:
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For the cost to be the same at both stores, it means (measured in $)
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Moving 0.79T over to the left hand side and changing signs:
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Let's check. If he buys 60 tiles in the first store, he spends:
                              $0.79×60 + $24 = $47.40 + $24 = $71.40

If he buys 60 tiles in the second store, he spends:
                                               $1.19×60 = $71.40

∴ Darin needs to buy 60 tiles for the cost to be the same at both stores.
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