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stepladder [879]
3 years ago
15

Mrs. Terrace cut a small birthday cake into 6 equal pieces for 6 children. One child was not hungry, so she gave the birthday bo

y the extra piece.
Mathematics
1 answer:
ELEN [110]3 years ago
4 0

Missing part of question:

Draw a tape diagram to show how much cake each of the five children received.

Answer:

See attachment

Step-by-step explanation:

Given

Equal\ Pieces = 6

Children = 5

Required

Tape diagram to represent the scenario

Because one child is not hungry, the number of children to share the cake becomes 6.

So, first we calculate the share of each child.

Share = \frac{Pieces}{Children}

Share = \frac{6}{5}

Share = 1.2

See attachment for tape diagram

The tape diagram implies that:

5 * 1.2 = 6

or

\frac{6}{1.2} = 5

or

\frac{6}{5} = 1.2

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A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing
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Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be x.

And the pints of 20% butterfat be y.

<em>So, the total pints of milk:</em>

x+y=1000

x=1000-y  ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

5(x)+20(y)=8(1000)

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Substituting the value of x from equation (1):

5(1000-y)+20y=8000

5000-5y+20y=8000

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<em>Subtracting both sides by 5000 we get:</em>

15y=3000

<em>Dividing both sides by 15 we get:</em>

y=200.

<em>The pints of 20% butterfat = 200 pints.</em>

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(a-17)(a-64)=0

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