Carlos bought a total of 405 fish for a museum display. He bought parrotfish and angelfish. He bought 8 times as many parrotfish as angelfish. Let the variable x represent the number of angelfish Carlos bought and the variable y represent the number of parrotfish he bought. Use a system of equations to model and solve this situation. What is the solution to the system of equations? (60, 345) (45, 360) (55, 350) (35, 370)

Question

Mathematics

Joy

29 June, 14:17

Carlos bought a total of 405 fish for a museum display. He bought parrotfish and angelfish. He bought 8 times as many parrotfish as angelfish. Let the variable x represent the number of angelfish Carlos bought and the variable y represent the number of parrotfish he bought. Use a system of equations to model and solve this situation. What is the solution to the system of equations? (60, 345) (45, 360) (55, 350) (35, 370)

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Arely Bolton · Answer 1

x+y=405

x=8y

plug it into the first equation

8y+y=405

9y=405

y=45

now we can plug it back into x+y=405

x+45=405

x=360

The answer is (45, 360)