Answer:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let [tex]f[/tex] represent frog lures and [tex]l[/tex] represent lizard lures.
The total packages Marion bought is
[tex]f+l=14...eqn1[/tex]
If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then
[tex]4f+6l=72...eqn2[/tex]
We make [tex]f[/tex] the subject in equation 1 and put it into equation 2 to get;
[tex]f=14-l...eqn3[/tex]
We put equation 3 into equation 2 to get;
[tex]4(14-l)+6l=72[/tex]
[tex]\Righttarrow 2(14-l)+3l=36[/tex]
We expand the bracket to get;
[tex]28-2l+3l=36[/tex]
[tex]-2l+3l=36-28[/tex]
[tex]l=8[/tex]
We put [tex]l=8[/tex] into equation 3 to get;
[tex]f=14-8[/tex]
[tex]f=6[/tex]
Therefore Marion bought 6 frog lures and 8 lizard fishing lures.
