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Dennis_Churaev
1 month ago
5

One serving (1 cup) from the fruits group is equal to 1 cup of fruit, 1 cup of 100% fruit juice, or 1/2 cup of dried fruit. Why

is the serving size for dried fruit smaller than the serving size for other forms of fruit?
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
6 0
The reason dried fruit has a smaller serving size compared to other fruit forms is that it retains significantly less water content. Drying effectively removes moisture from the material. For instance, fruit juice has around 85% water, leading to a remaining fruit content of 15%. Fresh fruit generally has approximately 89% water, corresponding to 11% remaining content, while dried fruit consists of only about 20% water, implying an 80% remaining content. For instance, assuming one cup serving weighs 1 kg results in: Fruit juice = 0.25 kg, Fresh fruit = 0.11 kg, and Dried fruit = 0.8 kg. Clearly, the actual fruit content in dried fruit is double that found in either fresh fruit or juice individually, which justifies why half a cup of dried fruit is equivalent to a single cup of the other two.
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Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

Initially, we write:

x

=

3

.

¯¯¯¯

24

After that, we will multiply each side by

100

leading to:

100

x

=

324

.

¯¯¯¯

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Subsequently, we will subtract the first equation from the second equation:

100

x

−

x

=

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.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can then solve for

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100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Next, we convert this improper fraction to a mixed numeral:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

=

3

8

33

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