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velikii [3]
3 years ago
7

Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p

ackages of 6 for a total of 72 lures. How many of each lure did Marion buy?
Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let f represent frog lures and l represent lizard lures.


The total packages Marion bought is

f+l=14...eqn1


If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

4f+6l=72...eqn2


We make f the subject in equation 1 and put it into equation 2 to get;

f=14-l...eqn3


We put equation 3 into equation 2 to get;

4(14-l)+6l=72


\Righttarrow 2(14-l)+3l=36


We expand the bracket to get;

28-2l+3l=36


-2l+3l=36-28


l=8


We put l=8 into equation 3 to get;

f=14-8


f=6

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.


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