Answer:
582 calories is 12.8% of: 4546.875 calories
Step-by-step explanation:
In mathematical terms, 12.8 % is written as: 0.128.
Now, we need to find a number X such that 582 divided by X renders 0.128 to guarantee that 582 is 12.8% of such number X.
Therefore we write the following proportion:
![(582)/(X) =0.128](https://img.qammunity.org/2021/formulas/chemistry/middle-school/qkpr78s1ifhu3p7ao9neoyyfwl8jvt3vj8.png)
Now to solve for X in this equation, we multiply both sides of the equal sign by X, and then divide both sides by 0.128 in order to leave our X unknown isolated on the right hand side of the equal sign:
![(582)/(X) =0.128\\582=0.128\, X\\(582)/(0.128) = X\\X=4546.875](https://img.qammunity.org/2021/formulas/chemistry/middle-school/7r1mzowcl0ov731ec2h0lp4vbxw2dy8lid.png)
This means that 582 calories is 12.8& of 4546.875 calories