i need answers.

Question

The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answer 1

X=Hamburger buns

Y= Hotdog buns

we can write 2 equations from the information given:

1) x+y=12

2) 2x+1.5y=20

Solve one of the equation for a variable. I will solve equation 1 for variable x

x+y=12

x=12-y

Now that we isolated a variable we can plug it into equation 2

2x+1.5y=20

2(12-y)+1.5y=20

y=8

Plug back into equation:

2x+1.5(8)=20

x=4

4 hamburger buns and 8 hotdog buns were purchased.