Answer:
Nickola swam for 4 hours and ran for 5.5 hours
Step-by-step explanation:
To solve this, we can use a system of equations.
First we can set up a system of equations like this
[tex]2s+15r=90.5[/tex] and
[tex]s+r=9.5[/tex]
Next we will use substitution to solve for one of the values. We can solve the second equation such that
[tex]s=9.5-r[/tex]
Now we can substitute this into the first equation for s
[tex]2(9.5-r)+15r=90.5[/tex]
Now we can solve for r
[tex]19-2r+15r=90.5[/tex]
[tex]19+13r=90.5[/tex]
[tex]13r=71.5[/tex]
[tex]r=5.5[/tex]
Now we can plug this value into the second equation to get the value for s
[tex]s+5.5=9.5[/tex]
[tex]s=4[/tex]
Now we can plug these values into the first equation to make sure we have the right values
[tex]2(4)+15(5.5)=90.5[/tex]
[tex]90.5=90.5[/tex]
