The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?

Respuesta :

Answer: It takes 40 minutes to bake a regular-sized loaf.

Step-by-step explanation:

Let be "r" the time in minutes it takes to bake a regular-sized loaf of bread and "m"  the time in minutes it takes to bake a mini-loaf of bread.

You need to set up the following System of equations using the information provided in the exercise:

[tex]\left \{ {{m=\frac{r}{2}+5 } \atop {m=25}} \right.[/tex]

In order to solve this exercise, you can apply the Substitution Method.

You already know the value of the variable "m". Then, you can substitute that value into the first equation:

[tex]25=\frac{r}{2}+5[/tex]

And finally, you must solve for the variable "r" in order to calculate its value.

You get that "r" is:

[tex]25-5=\frac{r}{2}\\\\20=\frac{r}{2}\\\\(2)(20)=r\\\\r=40[/tex]