Solving Word Problems algebraic

Question

Burgers cost $2.10,

Hot dogs cast $11.10, and

Soda cost $.85

21 people buy either a burger or dog, and every one of them buys a soda, and

total cost is $51.75

How many burgers and dogs were bought?

Answer 1

I am revising the numbers that seem wrong but I do not know.

If the hotdog cost is $1.10, the cost of a soda is $0.85 and the total sales are $51.95 we would do the following to solve the problem.

Let the number of burgers purchased be x and the number of hotdogs purchased be y. The number of sodas purchased would be x + y. The total number of purchases are:

x + y = 21

y = 21 - x

The total of all sales is:

2.1x + 1.1y + 0.85(x+y) = 51.95

Substituting for y: