Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish costs $1.50, and each tetra fish costs $2.00. He spent $20 on the fish. Which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?

Respuesta :

Answer:

2x = y

2x + 1.5y = 20

Step-by-step explanation:

x represents the number of tetra fish

y represents the number of goldfish

Rick bought twice as many goldfish as he did tetra so multiply 2 by the number of tetra fish to get the number of goldfish or 2x = y

Tetra fish cost $2.00 each

Goldfish cost $1.50 each

Rick spent $20 on fish so $2 multiplied by number of tetra fish + $1.50 multiplied by number of goldfish will equal $20 (total spent on fish) or

2x + 1.5y = 20

The system of equations are ( 2x = y ) and ( 2x + 1.5y = 20 ).

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The system of the equations will be formed as:-

x represents the number of tetra fish.

y represents the number of goldfish.

Rick bought twice as many goldfish as he did tetra so multiply 2 by the number of tetra fish to get the number of goldfish or 2x = y

Tetra fish cost $2.00 each.

Goldfish cost $1.50 each.

Rick spent $20 on fish so $2 multiplied by the number of tetra fish + $1.50 multiplied by the number of goldfish will equal $20 (total spent on fish) or

2x + 1.5y = 20

Therefore, the system of equations are ( 2x = y ) and ( 2x + 1.5y = 20 ).

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