Question

Each batch of cupcakes mix requires 1/3 of a cup milk.according to the recipe,the batch can make 12 small cupcakes or 8 large cupcakes.if emma makes a batch of large cupcakes,how much milk is used foe each cupcake

Answer 1

Given:

Each batch of cupcake requires = 1/3rd cup of milk

A batch can make 12 small cupcakes or 8 large cupcakes.

To find:

If Emma makes a batch of large cupcakes, how much milk is used for each cupcake.

Solution:

Since Emma makes a batch of large cupcakes, each batch will have 8 large cupcakes.

A batch of cupcakes uses 1/3rd cup of milk

8 large cupcakes use 1/3rd cup of milk

1 large cupcakes uses 1/(3*8) cup of milk

= 1/24

Therefore, 1/24th cup of milk is used for each cupcake.

Answer 2

SOLUTION

GIVEN

• Each batch of cupcakes mix requires 1/3 of a cup milk

• According to the recipe,the batch can make 12 small cupcakes or 8 large cupcakes

• Emma makes a batch of large cupcakes

TO DETERMINE

The amount of milk is used for each cupcake

EVALUATION

Let x cup of milk is used for each cupcake

Now here it is given that Emma makes a batch of large cupcakes

Also according to the recipe, the batch can make 8 large cupcakes such that each batch of cupcakes mix requires 1/3 of a cup milk

So by the given condition

$\displaystyle \sf{8x = \frac{1}{3} }$

$\implies \: \displaystyle \sf{x = \frac{1}{8 \times 3} }$

$\implies \: \displaystyle \sf{x = \frac{1}{24} }$

$\displaystyle \sf{Hence \: \: \frac{1}{24} \: \: cup \: of \: milk \: is \: \: required \: for \: each \: cupcake}$

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