rockandotherthings rockandotherthings
  • 23-10-2019
  • Mathematics
contestada

Heather, Deon, and Ali served a total of 106 orders. Deon served 4 times as many as Ali. Heather served 10 more orders then Ali. How many orders did they each serve.

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 23-10-2019

Answer:

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.

Step-by-step explanation:

Let order served by

Heather be h

Deon be d

Ali be a

We can write 3 equations from the word problem:

h + d + a = 106

d = 4a

h = 10 + a

We put 2nd and 3rd equation in first and solve for a:

h + d + a = 106

10 + a + 4a + a = 106

6a = 96

a = 16

Now,

d = 4a = 4(16) = 64

and

h = 10 + a = 10 + 16 = 26

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.

Answer Link

Otras preguntas

Select the value that is a solution of the equation x - 9 = 5
What is the answer to this, W+3⅜=1 5/6
Holly has 25 fish in her aquarium. Tommy has one-fifth the number of fish that Holly has. Jared has three times as many fish as Tommy. If they combine all thei
Find the distance between the points with coordinates (-26, 0) and (95, 0). A) -69 B) 11 C) 69 D) 121
what is 7t + 3 - 2t
How do almost all cases reach the United States Supreme Court? (a.) directly and upon the arrest of a person accused of breaking a law. (b.) due to recommendati
Simple interest , 750 principal, 11 years, total interest due 412.5, interest rate = ?%
Barry's mountain bike weighs 6 pounds more than Andy's if their bikes weigh 42 pounds together, How much does Barry's bike weigh
During the colonial America there was an abundance of labor's true or False
A big advantage of sexual reproduction is _____ variability in the off spring