Answer:
Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders
Step-by-step explanation:
Let S represent Shen, A, Aldo and H, Heather
Now, let's interpret the question
Shen served 2 times as many as Aldo, this gives:
S = 2A ...eq 1
Aldo served 7 more orders than Heater
A = 7 + H ... eq 2
Slot in the value of A in eq 1
Therefore,
S = 2 (7 + H)
Expand the bracket
S = 14 + 2H
Shen, Heather and Aldo served a total of 57 orders
S + A + H = 57
Slot in the values of S and A
(14 + 2H) + (7 + H) + H = 57
14 + 2H + 7 + H + H = 57
Collect like terms
14 + 7 + 2H + H + H = 57
21 + 4H = 57
4H = 57 - 21
4H = 36
H = 9
Substitute the value of eq 2
A = 7 + H
A = 7 + 9
A = 16
Substitute the value of A in eq 1
S = 2A
S = 2(16)
S = 32
Therefore, Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders
