At work one day Erica received 36 packages. Speedy delivered 3 times as many as Express, While Express delivered 4 more than Quick Service. How many packages did each service deliver to Erica?
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Thank you BobPursley I think I get it now
To find out how many packages each service delivered to Erica, we can break down the problem and solve it step by step.
Let's assume the number of packages delivered by Quick Service is x.
According to the given information:
Express delivered 4 more packages than Quick Service, so the number of packages delivered by Express would be x + 4.
Speedy delivered 3 times as many as Express, so the number of packages delivered by Speedy would be 3 * (x + 4).
To find the total number of packages received by Erica, we need to sum up the packages delivered by each service:
x (Quick Service) + x + 4 (Express) + 3 * (x + 4) (Speedy) = 36
Simplifying the equation:
x + x + 4 + 3x + 12 = 36
Combining like terms:
5x + 16 = 36
Subtracting 16 from both sides of the equation:
5x = 20
Dividing both sides of the equation by 5:
x = 4
So Quick Service delivered 4 packages.
Express delivered x + 4 = 4 + 4 = 8 packages.
Speedy delivered 3 * (x + 4) = 3 * (4 + 4) = 3 * 8 = 24 packages.
Therefore, Quick Service delivered 4 packages, Express delivered 8 packages, and Speedy delivered 24 packages.