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zaharov [31]
3 years ago
8

Ronald and Madelyn are both entering a cake in the Tri-County Bake-Off. Ronald's recipe calls for 2 cups of sugar and 5 cups of

flour. Madelyn is entering a much larger cake, so her recipe calls for 6 cups of sugar and 16 cups of flour. Whose cake is less sweet?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

Ronald

Step-by-step explanation:

RONALD:

Cups of sugar = 2

Cups of flour = 5

Cups of sugar / cup of flour mixed = 2/5 = 0.4 per cup

MADELYN :

Cups of sugar = 6

Cups of flour = 16

Amount of sugar per cup of flour :

Cups of sugar / cup of flour mixed = 6/16 = 0.375 per cup

RONALD'S cake is sweeter, it has greater amount of sugar per cup than madelyn's

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Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

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<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

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<em />

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