Question

Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of Chinchillas is 5 more than 2 times the number of guinea pigs. How many of each animals are there? Let g = the number of guinea pigs and let c = the number of chinchillas. Write a system of equations to represent the situation and use substitution to solve for the amount of each animal.

Answer 1

Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!