Alicia earned d dollars baby-sitting. Her friend earned twice as much. You earned $2 less than Alicia's friend earned. Write an expression in simplest form that represents the total amount in the situation.


Respuesta :

Answer:

[tex]Total = \$5d - 2[/tex]

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

[tex]A = \$d[/tex]

[tex]F = 2 * A[/tex] --- Twice as much Alice means 2 times Alice's earnings

[tex]Y = F - 2[/tex] --- 2 less than her friend

Required

Determine the total amount

[tex]A = \$d[/tex]

Substitute [tex]\$d[/tex] for A in [tex]F = 2 * A[/tex]

[tex]F = 2 * \$d[/tex]

[tex]F = \$2d[/tex]

Substitute [tex]\$2d[/tex] for F in [tex]Y = F - 2[/tex]

[tex]Y = \$2d - 2[/tex]

The total amount is calculated by adding the earnings of Alice, her friend and you

[tex]Total = A + F + Y[/tex]

[tex]Total = \$d + \$2d + \$2d - 2[/tex]

[tex]Total = \$5d - 2[/tex]

Hence, the total earnings is 5d - 2