Marcy has $150 to buy packages of hot dogs,d, and hamburgers,b, for her booth at the carnival. At her grocery store she found packages of hot dogs cost $6 and packages of hamburgers cost $20.
(a) Write an equation that can be used to find the possible combination of hot dog and hamburger packages Marcy can buy using her budget of exactly $150.
(b) Solve the equation for d.
(c) Solve the equation for b.

Respuesta :

15 d+3 b= 150 .........................(1) 
5 d+6 b=120.............................(2)

From the first equation d=6 b=20
From the second equation it is d= 6 b= 20

Answer: a)[tex]6d=150-20b[/tex]

b) [tex]d=\frac{150-20b}{6}[/tex]

c)[tex]b=\frac{150-6d}{20}[/tex]


Step-by-step explanation:

Let d be the number of packages of hot dogs and b be the number of packages of hamburgers.

a)If the cost of a package of hot dogs is $6 and  cost of a package of hamburger is $20, the required equation will be

[tex]6d+20b=150[/tex]

b) To solve for d, we subtract 20b from both sides, we get

[tex]6d=150-20b[/tex]

Now, divide 6 from both sides, we get

[tex]d=\frac{150-20b}{6}[/tex]

c) To solve for b, we subtract 6d from both sides, we get

[tex]20b=150-6d[/tex]

Now, divide 20 from both sides, we get

[tex]b=\frac{150-6d}{20}[/tex]