Question

Delia is hosting a BBQ. She buys a total of 50 burgers and Hot Dogs for $90. Delia pays $2 per burger and $1.50 per Hot Dog. Write a system of linear equations to find the number x of burgers and the number y of Hot Dogs Delia buys. Solve the linear system by substitution. Please help-

Answer 1

X=burgers
Y=hot dogs

X+Y=50
2x+1.5Y=90

X=50-Y
2x+1.5Y=90

2(50-y)+1.5y=90

Y=20
X=50-20, X=30

(X,Y)=(30,20)

Delia bought 30 burgers and 20 hot dogs.