Question
A recipe for a cake calls for 2.5 cups of milk and 3
cups of flour. With this recipe, a cake was baked using 14 cups of flour. How many cups of milk were required?Solution
3 cup of flour is needed to bake 1 cake In 1 cup of flour we can bake 1/3 rd of a cake & In 14 cups of flour we can bake 14 x (1/3) of cake = 14/3 Now for 1 cake 2.5 cup of milk is required So, therefore for 14/3 part of cake milk required = 14/3 x 2.5 = 11(2/3) cup Alternate Solution Milk: Flour = 2*1/2 : 3 Milk: Flour = x: 14 ⇒2*1/2 : 3 : : x : 14 ⇒ 3 x = 5/2 ×14 ⇒ x = 5/2 × 14/3 = 35/3 x = 11`(2)/(3)` cups
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