Answer:
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
