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2 years ago

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Clifford is making a really big white cake for his sisters birthday. The recipe calls for 1.5 times as much flour as sugar. It a

lso calls for 1/2 as much butter as sugar. All the butter, flour, and sugar together total7.5 cups. How much butter, sugar and flour does Clifford need?

1 answer:

pantera1 [17]2 years ago

3 0

<u>Answer:</u>

The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter

<u>Explanation</u>:

Consider the number of cup of flour used to be x

According to question,

Recipe calls for 1.5 times as much flour as sugar

Sugar = $1.5 \times Flour$

Sugar = 1.5x

Butter = ½ x = 0.5x

According to question,

Flour + Sugar + Butter = 7.5

x + 1.5x + 0.5x = 7.5

3x = 7.5

x = 2.5

Sugar = 1.5x = 1.5(2.5) = 3.75

Butter = 0.5(2.5) = 1.25

Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter

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$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

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Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

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$P_{75} = 75 * \frac{N +1}{100}$

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$P_{75} = 29.5$

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