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Tammy, All, and Bill served a total of 128 orders Monday at the school cafeteria, Bill served 3 times as many orders as Tammy. All served 8 more orders thanTammy. How many orders did they each serve?Number of orders Tammy served:Number of orders All served:Number of orders Bill served:

User Charan
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1 Answer

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Answer:

Number of orders served by Tammy = 24

Number of orders served by Ali = 32

Number of orders served by Bill = 72

Explanations:

The number of orders served by Tammy = t

The number of orders served by Ali = a

The number of orders served by Bill = b

Total orders served by the three of them = 128

t + a + b = 128........................(1)

Bill served 3 times as many orders as Tammy

b = 3t..................................................(2)

Ali served 8 more orders than Tammy

a = t + 8..............................................(3)

Substitute equations (2) and (3) into equation (1)

t + (t + 8) + 3t = 128

t + t + 3t + 8 = 128

5t = 128 - 8

5t = 120

t = 120/5

t = 24

Number of orders served by Tammy = 24

Substitute t = 24 into equation (2)

b = 3t

b = 3(24)

b = 72

Number of orders served by Bill = 72

Substitute t = 24 into equation (3)

a = t + 8

a = 24 + 8

a = 32

Number of orders served by Ali = 32

User Rubal
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