Question

To make 150 cupcakes, you use 1360.78 grams of dry ingredients. 22% of the dry mixture is sugar. How many ounces of sugar is in one cupcake? round your answer to the nearest hundredth.

Answer 1

To make 150 cupcakes, you use 1360.78 grams of dry ingredients. 22% of the dry mixture is sugar. How many ounces of sugar is in one cupcake? round your answer to the nearest hundredth. ​

you can solve this by using a rule of three.

Step 1

if 1360.78 gr is our 100%, and 22% is sugar, how many sugar is in it?

`\begin{gathered} 1360.78\Rightarrow100 \\ x\text{? }\Rightarrow22 \\ \text{the relation is} \\ (1360.78)/(100)=(x)/(22) \end{gathered}`

solve for x

`\begin{gathered} (1360.78)/(100)=(x)/(22) \\ 22\cdot1360.78=100\cdot x \\ x=(22\cdot1360.78)/(100) \\ x=299.3716 \end{gathered}`

so, 22% of the dry mixture is 299.37 gr of sugar.

Step 2

to make 150 cupcakes you use 299.37 gr of sugar , how many sugar for (1) cupcake?

again, we can use a rule of three

`\begin{gathered} 150\Rightarrow299.37 \\ 1\Rightarrow y?\text{ } \\ \text{the relation is} \\ (150)/(299.37)=(1)/(y) \end{gathered}`

solve for y

`\begin{gathered} 150\cdot y=299.37\cdot1 \\ y=(299.37)/(150) \\ y\text{ = 2} \end{gathered}`

so, for every cupcake you use 2 grams of sugar.

Step 3

convert grams into ounces

remember

1 gram =0.035274 ounces

use a rule of three

`\begin{gathered} 1\Rightarrow0.035274 \\ 2\Rightarrow w? \\ \end{gathered}`

solve for w

`\begin{gathered} (1)/(0.035274)=(2)/(w) \\ w\cdot1=2\cdot0.035274 \\ w=0\text{.}070548 \end{gathered}`

so, in one cupcake there are 0.07 ounces of sugar