Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in both days.
-write the equation-

Respuesta :

Answer:

The equations are:

[tex]T = 2Y[/tex] and [tex]T + 2Y = 15[/tex]

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

[tex]T = 2Y[/tex]

Reading further; In the second statement

[tex]T + 2Y = 15[/tex]

Hence, the equations are:

[tex]T = 2Y[/tex] and [tex]T + 2Y = 15[/tex]

Solving further:

Substitute 2Y for  T in the second equation

[tex]2Y + 2Y = 15[/tex]

[tex]4Y = 15[/tex]

Divide both sides by 4

[tex]Y = \frac{15}{4}[/tex]

[tex]Y = 3.75[/tex]

Recall that

[tex]T = 2Y[/tex]

[tex]T= 2 * 3.75[/tex]

[tex]T= 7.5[/tex]