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Varvara68 [4.7K]
2 years ago
6

At laurita,s bakery 3/5 of the bakwd

Mathematics
1 answer:
svet-max [94.6K]2 years ago
8 0

Answer: Part a) The fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) The fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15

Step-by-step explanation:

Let

x -----> the total number of baked goods

we know that

1) 3/5 of the baked goods are pies and the rest are cakes

To obtain the number of pies multiply the total number of baked goods by 3/5

The number of pies is ----> (3/5)x

To obtain the number of cakes subtract the number of pies from the total number of baked goods

The number of cakes is -----> x-(3/5)x=(2/5)x

2) 1/3 of the pies are coconut

To obtain the number of coconut pies multiply the number of pies by 1/3

The number of coconut pies is -----> (3/5)x(1/3)=(3/15)x=(1/5)x

3) 1/6 of the cakes are angel food

To obtain the number of angel food cakes multiply the number of cakes by 1/6

The number of angel food cakes is -----> (2/5)x(1/6)=(2/30)x=(1/15)x

Part a) What fraction of all of the baked goods at Laurita’s Bakery are coconut pies?

we know that

The number of coconut pies is (1/5)x (see Part 2)

Divide the number of coconut pies by  the total number of baked goods

therefore

The fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) What fraction of all of the baked goods at Laurita’s Bakery are angel food cakes?

we know that

The number of angel food cakes is (1/15)x (see Part 3)

Divide the number of angel food cakes by  the total number of baked goods

therefore

The fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15

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The goat would cover <u>9 meters</u> in taking 24 steps.

Step-by-step explanation:

<u><em>There is a mistake in the question so the correct question is below:</em></u>

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers =  \frac{1}{2} \ meter.

So, 3 step of horse covers = \frac{1}{2} \times 3 =\frac{3}{2} =1.5\ meters.

<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>

<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>

<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = \frac{1.5}{4}

Thus, the distance cover by the goat in 24 steps = \frac{1.5}{4}\times 24

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= 9\ meters.

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(3 / 4) * 5 = 15 / 4 = 3.75 mph


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