Question

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.

Answer 1

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 2

Answer: a)
`6d=150-20b`

b)
`d=(150-20b)/(6)`

c)
`b=(150-6d)/(20)`

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

`6d+20b=150`

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

`6d=150-20b`

Now, divide 6 from both sides, we get

`d=(150-20b)/(6)`

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

`20b=150-6d`

Now, divide 20 from both sides, we get

`b=(150-6d)/(20)`