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27.01.2020 •
Mathematics
Teresa, charlie, and justin served a total of 153 orders monday at the school cafeteria. justin served 4 times as many orders as charlie. teresa served 9 more orders than charlie. how many orders did they each serve?
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Ответ:
Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
Solution:
Let "a" be the orders served by Teresa
Let "b" be the orders served by Charlie
Let "c" be the orders served by Justin
Teresa, Charlie, and Justin served a total of 153 orders
Therefore,
a + b + c = 153 eqn 1
Justin served 4 times as many orders as Charlie
Orders served by Justin = 4( orders served by Charlie )
c = 4b eqn 2
Teresa served 9 more orders than Charlie
orders served by Teresa = 9 + orders served by Charlie
a = 9 + b eqn 3
Let us solve eqn 1 and eqn 2 and eqn 3
Substitute eqn 2 and eqn 3 in eqn 1
9 + b + b + 4b = 153
9 + 6b = 153
6b = 153 - 9
6b = 144
b = 24
Substitute b = 24 in eqn 3
a = 9 + 24
a = 33
Substitute b = 24 in eqn 2
c = 4(24)
c = 96
Thus Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
Ответ:
its actually B
Step-by-step explanation:
i just got it wrong on Usatestprep