Answer:
4 cups of sugar require 14 cups of sugar
Explanation:
Given
![(7)/(8)\ cup\ flour = (1)/(4)\ cup\ sugar](https://img.qammunity.org/2021/formulas/mathematics/high-school/kin7xwwezsu25cy52cdbin63ccdp5axcxb.png)
Required
Determine the cups of flour for 4 cups of sugar
First, we need to determine the unit rate for 1 cup of sugar.
This is done by multiplying both sides by 4
![4 * (7)/(8)\ cup\ flour = (1)/(4)\ cup\ sugar * 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/f8ytngdkw1brm0thgojuhvbnhondc4vsr3.png)
![(7)/(2)\ cup\ flour = 1\ cup\ sugar](https://img.qammunity.org/2021/formulas/mathematics/high-school/8a98vcwp5yfxa00ndzzrc4gx7o6mqcfiyb.png)
Next, we determine cup of flour for 4 cups of sugar.
This is done by multiplying both sides by 4
![4 * (7)/(2)\ cup\ flour = 1\ cup\ sugar * 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/fxrpehx440vfhqheqk54gkjj7q1k81p44w.png)
![2 * 7\ cup\ flour = 4\ cup\ sugar](https://img.qammunity.org/2021/formulas/mathematics/high-school/9suetx0o6usrnaok7jal5ag98f4ir6f4oh.png)
![14\ cup\ flour = 4\ cup\ sugar](https://img.qammunity.org/2021/formulas/mathematics/high-school/w0psvcdowryb16ag33mgik87hdoek7weo7.png)
Hence;4 cups of sugar require 14 cups of sugar