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26 May, 23:47

Jaquan mixed 1 3/4 teaspoons of baking powder with 1 1/2 cups of flour to make a cake. Jasmine asked him to make some cake for her birthday party. To make a cake the birthday cake, Jaquan used exactly 9 cups of flour. How many teaspoons of baking powder should Jaquan use to make a birthday cake?

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  1. 27 May, 00:08
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    10¹/₂ of flour

    Step-by-step explanation:

    Jaquan mixed 1 ³/₄ teaspoons of baking powder with 1 ¹/₂ cups of flour to make a cake

    which means

    1 ³/₄ + 1 ¹/₂ = 2³⁺²/₄ = 2⁵/₄

    ⁵/₄ = 1¹/₄

    adding ⁵/₄ to 2 = 1¹/₄ + 2 = 3¹/₄ to make cake

    but to find the teaspoons of baking powder that Jaquan will use to make a birthday cake in the same ratio if Jaquan used exactly 9 cups of flour

    we need to express it in ratio and

    1 ³/₄ is baking powder

    1 ¹/₂ is flour

    x is the other baking powder we are looking for

    9 is for flour

    1 ³/₄ : 1 ¹/₂ = x:9

    converting to whole improper fraction

    1 ³/₄ = 4x1+3/4 = 4+3/4 = 7/4

    1 ¹/₂ = 2x1+1/2 = 2+1/2 = 3/2

    7/4:3/2 = x:9

    7/4/3/2 = 7/4 x 2/3 = 7x1/2x3 = 7/6

    7/6 = x/9

    cross multiply

    7x9 = 6x

    63 = 6x

    x = 63/6 = 21/2 = 10¹/₂ of flour
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