Mateo read the thermometer this evening. The temperature was 52 degrees. This temperature was 3 degrees less than the temperature in the afternoon. The afternoon temperature was 21 degrees greater than the temperature in the morning. What was the temperature in the morning?

Respuesta :

Answer:

The temperature in the morning was 34 degrees.

Step-by-step explanation:

I am going to attribute a variable to each of these tempertures, and build the equations.

Mateo read the thermometer this evening. The temperature was 52 degrees.

I am going to call the evening's temperature x.

So x = 52.

This temperature was 3 degrees less than the temperature in the afternoon.

I am going to call the afternoon's temperature y.

So

x = y - 3

52 = y - 3

y = 52 + 3

y = 55

The afternoon temperature was 21 degrees greater than the temperature in the morning.

The morning's temperature is z.

y = 21 + z

55 = 21 + z

z = 34

The temperature in the morning was 34 degrees.

Answer:

[tex]T_{2} = 34\,^{\textdegree}F[/tex]

Step-by-step explanation:

The temperature in the afternoon was:

[tex]T_{1} = 52\,^{\textdegree}F + 3\,^{\textdegree}F[/tex]

[tex]T_{1} = 55\,^{\textdegree}F[/tex]

Lastly, the temperature in the morning was:

[tex]T_{2} = 55\,^{\textdegree}F-21\,^{\textdegree}F[/tex]

[tex]T_{2} = 34\,^{\textdegree}F[/tex]

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