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Lucy, Sam, and Bob served a total of 72 orders Monday at the school cafeteria. Bob served 3 times as many orders as Lucy. Lucy served 8 more orders than Sam. How many orders did they each serve?

Respuesta :

calculista

let

x-------> the number of Lucy's orders

y-------> the number of Sam's orders

z-------> the number of Bob's orders

we know that

[tex]x+y+z=72[/tex]----> equation A

[tex]z=3x[/tex]-----> equation B

[tex]x=8+y-----> y=x-8[/tex] -----> equation C

substitute equation B and C in equation A

[tex]x+(x-8)+3x=72\\ 5x=72+8\\ 5x=80\\x=16\\[/tex]

find z

[tex]z=3*16=48[/tex]

find y

[tex]y=x-8------> y=16-8=8[/tex]

therefore

the answer is

the number of Lucy's orders is [tex]16[/tex]

the number of Sam's orders is [tex]8[/tex]

the number of Bob's orders is [tex]48[/tex]


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