Problema Solution

Salma, Tom, and Felipe served a total of

145

orders Monday at the school cafeteria. Tom served

7

more orders than Salma. Felipe served

4

times as many orders as Salma. How many orders did they each serve?

Answer provided by our tutors

let


s = the number of orders that Salma served


t = the number of orders that Tom served


f = the number of orders that Felipe served


Salma, Tom, and Felipe served a total of 145 orders Monday at the school cafeteria:


s + t + f = 145


Tom served 7 more orders than Salma:


t = 7 + s


Felipe served 4 times as many orders as Salma:


f = 4s


by solving the system of equations:


s + t + f = 145


t = 7 + s


f = 4s


we find


s = 23 orders


t = 30 orders


f = 92 orders


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Salma served 23 orders.


Tom served 30 orders.


Felipe served 92 orders.