Question

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?

Answer 1

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

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:

`\left \{ {{m=(r)/(2)+5 } \atop {m=25}} \right.`

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:

`25=(r)/(2)+5`

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

You get that "r" is:

`25-5=(r)/(2)\\\\20=(r)/(2)\\\\(2)(20)=r\\\\r=40`