Math solving word problems

Question

Local hamburger sold a combined total of 804 hamburger and cheeseburgers there were 54 more cheeseburgers sold than hamburgers how many hamburger were sold

Answer 1

Hi Doris,

Local hamburger sold a combined total of 804 hamburger and cheeseburgers

there were 54 more cheeseburgers sold than hamburgers how many hamburger were sold

Given:

Total burgers hamburgers and cheeseburgers sold were 804

There were 54 more cheeseburgers than hamburgers

Find:

How many hamburgers were sold?

Let h = number of hamburgers sold

let c = number of cheeseburgers sold

The Total Burgers sold was 804

So

h + c = 804

There were 54 more cheeseburgers than hamburgers

So c = h + 54

Now we have 2 equations with 2 unknowns and can solve

h + c = 804

c = h+ 54

I'll use substitution

h + c = 804

h + (h + 54) = 804

2 h +54 = 804

2h = 750

h = 375

c = h + 54

c = 375 + 54 = 429

We can check to make sure our solution is correct

h + c ?= 804

375 + 429 ?= 804

804 = 804 It checks out.

So the answer is Hamburgers sold = 375

Hope this helps

Let me know if you have any more questions :)