Question

The recipe of a cake includes the following steps:

$\text{Step A:}1\frac{1}{4}\text{cups of flour is mixed with}2\frac{5}{8}$
$\text{cups of chocolate.}$

$\text{Step B: Add}\frac{1}{8}\text{cups of sugar to the flour and}$
$\text{chocolate mixture.}$

Calculate the total amount of the mixture after both the steps.

• A. $4\text{cups}$
• B. $4\frac{1}{8}\text{cups}$
• C. $3\frac{1}{8}\text{cups}$
• D. $3\text{cups}$

Answer 1

The correct option is A $4\text{cups}$

Given:

$\text{Step A:}1\frac{1}{4}\text{cups of flour is mixed with}2\frac{5}{8}\text{cups of chocolate.}$

$\text{Step B: Add}\frac{1}{8}\text{cups of sugar to the flour}$
$\text{and chocolate mixture.}$

So,
$\text{Weight of the mixture after step A}$
$=[1\frac{1}{4}+2\frac{5}{8}]\text{cups}$

$\text{Now, the fraction}1\frac{1}{4}\text{can be written as:}$


$\text{Similarly,}\text{the fraction}2\frac{5}{8}\text{can be written as:}$


$\text{So,}1\frac{1}{4}+2\frac{5}{8}=\frac{10}{8}+\frac{21}{8}$

$\text{Calculating}\frac{10}{8}+\frac{21}{8}\text{we get:}$


$\text{So, at the end of step A, the weight of}\text{the mixture is}\frac{31}{8}\text{cups}$.

$\text{Now, in step B, an additional}\frac{1}{8}\text{cups of}\text{sugar is added to this mixture.}$

So, the total amount of the mixture after step B will be:
$[\frac{31}{8}+\frac{1}{8}]\text{cups}$

$\text{Calculating}\frac{31}{8}+\frac{1}{8}\text{, we get:}$


$\text{But,}\frac{32}{8}=4$

Hence, the total amount of the mixture after both the steps is 4 cups.