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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies

1 Answer

4 votes

Answer:


c + h = 5 and


0.75c + 1.10h = 4.55

Explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:


Cookies + Hot\ Dogs = 5 --- (1)

And the amount spent can be represented as:


Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55 --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.


Cookies + Hot\ Dogs = 5 implies
c + h = 5

And


Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:


0.75c + 1.10h = 4.55

Hence, the equations are:


c + h = 5 and


0.75c + 1.10h = 4.55

Solving for c and h

Make c the subject in
c + h = 5


c = 5 - h

Substitute 5 - h for c in
0.75c + 1.10h = 4.55


0.75(5- h) + 1.10h = 4.55


3.75- 0.75h + 1.10h = 4.55


3.75 +0.35h = 4.55

Collect Like Terms


0.35h = 4.55 - 3.75


0.35h = 0.8

Solve for h


h = 0.8/0.35


h = 2.28571428571


h =2 -- approximated

Recall that:


c = 5 - h


c = 5 - 2


c =3

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