Question

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.

Answer 1

Answer:

$Total = \ 5d - 2$

Step-by-step explanation:

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

From the question, we have:

$A = \ d$

$F = 2 * A$ --- Twice as much Alice means 2 times Alice's earnings

$Y = F - 2$ --- 2 less than her friend

Required

Determine the total amount

$A = \ d$

Substitute $\ d$ for A in $F = 2 * A$

$F = 2 * \ d$

$F = \ 2d$

Substitute $\ 2d$ for F in $Y = F - 2$

$Y = \ 2d - 2$

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

$Total = A + F + Y$

$Total = \ d + \ 2d + \ 2d - 2$

$Total = \ 5d - 2$

Hence, the total earnings is 5d - 2