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scZoUnD [109]
3 years ago
15

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the

original package, by what fraction did the unit price increase? Express your answer as a common fraction.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

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Answer:

1) Arc length = 2πr ( Ф/360)

                 = 2 × 22/7 × 15 (120/360)

                 =  44/7 × 15 (1/3)

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2) Arc length = 2πr ( Ф/360)

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Hope it helps!!!

                 

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