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iren2701 [21]
3 years ago
11

Serenity has 2\frac{1}{2} 2 1 ​ cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 ​ cup of dough for each dumpling, h

ow many whole dumplings can Serenity make?
Mathematics
1 answer:
BARSIC [14]3 years ago
6 0

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has 2\frac{1}{2} cups of dough to make dumplings

She uses \frac{3}{4} cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}

\text{Cups of dough for 1 dumpling } = \frac{3}{4}

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3

Thus 3 dumplings can be made

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−

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)

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, so, if we expand the product just written, we have

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(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

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=

x

3

+

4

x

2

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