kailypoop
Answered

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Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in
packages of 4 and lizard lures in packages of 6 for a total of 72 lures. How many of each lure did
Marion buy?
A. 6 lizards and 4 frogs
B. 4 lizards and 8 frogs
C. 48 lizards and 24 frogs
D. 24 lizards and 48 frogs

Sagot :

mathstudent55

Answer:

C. 48 lizards and 24 frogs

Step-by-step explanation:

Let F = number of frog lures, and let L = number of lizard lures.

Marion bought 14 packages of plastic frog and lizard fishing lures.

She bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures.

F + L = 72

F/4 + L/6 = 14

12 * F/4 + 12 * L/6 = 12 * 14

         3F + 2L = 168

(+)      -3F - 3L = -216

------------------------------

                   -L = -48

L = 48

F + L = 72

F + 48 = 72

F = 24

Answer: C. 48 lizards and 24 frogs

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