At an awards banquet, the bill for three glasses of milk and five seafood dinners is $38.50,

whereas the bill for one glass of milk and two seafood dinners is $15.15.

A) Write a system of two equations to model this problem. Let m stand for the price of a glass of milk and let s stand for the price of a seafood dinner.

B) Use substitution to solve the system of equations.

let the price of a glass of milk be m and the price of seafood dinners to be s

A. for the first equation, we can see that

3m+5s = 38.5 ... 1

and second equation

m+2s = 15.15 ... 2

B. 3m+5s = 38.5 ... 1

m+2s=15.15 ... 2

using substitution method

make m subject in eqn 2

m = 15.15 - 2s

put m in eqn 1

3 (15.15-2s) + 5s=38.5

45.45 - 6s+5s = 38.5

-6s + 5s = 38.5 - 45.45

-s = - 6.95

divide both sides by - 1

s = $ 6.95

m = 15.15 - 2s

m = 15.15 - 2 (6.95)

m = 15.15 - 13.9

m=$ 1.25

therefore the price of a glass of milk is $1.25 and the price of a seafood dinner is $6.95