# Question #3dc62

##### 1 Answer

#### Explanation:

Let

We can make 2 equations:

We know that the total number of minutes is 48, so:

#l + t = 48# We know that the total calorie burn must be 400, so:

#9l + 8t = 400#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now that we have a system of equations, we can solve it through subtraction, like this:

Multiply both sides of the first equation by

#8# :

#8l + 8t = 384# Now subtract this modified form of the first equation from the second equation:

#color(white)"X.." 9l + 8t = 400#

#-(8l + 8t = 384)#

#-------#

#color(white)"XXXXX"l = 16#

So we know what

#l + t = 48#

#16 + t = 48#

#t = 32#

So

*Final Answer*