At work one day, Erica Franz received 11
packages. Speedy Delivery delivered four times
as many as Ralph's Express, while Ralph's Express delivered one
more than SendQuick Package Service. How many packages did each service deliver to Erica?
To solve this problem, let's use algebra to represent the information given.
Let's assume that the number of packages delivered by Ralph's Express is represented by the variable "x".
According to the information given, Speedy Delivery delivered four times as many packages as Ralph's Express. So, the number of packages delivered by Speedy Delivery can be represented as 4x.
It is also mentioned that Ralph's Express delivered one more package than SendQuick Package Service. So the number of packages delivered by SendQuick Package Service can be represented as (x - 1).
The total number of packages delivered by all three services is given as 11. So we can form the equation:
x + 4x + (x - 1) = 11
Now let's solve this equation to find the value of x:
6x - 1 = 11
6x = 12
x = 2
Therefore, Ralph's Express delivered 2 packages, Speedy Delivery delivered 4x2 = 8 packages, and SendQuick Package Service delivered (2 - 1) = 1 package.
So, Ralph's Express delivered 2 packages, Speedy Delivery delivered 8 packages, and SendQuick Package Service delivered 1 package to Erica.