Question

The

Tran family is bringing 12 packages of 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. Write and solve a system
of equations that can be used to find the
number of packages of each type of bun they
purchased

System:_____
Hamburger buns:______
Hot-dog buns:_______

Answer 1

The Tran family purchased 4 packages of hamburger buns and 8 packages of hot-dog buns.

Step-by-step explanation:

The Tran family is bringing 12 packages of buns to the neighborhood picnic. Let's denote the number of hamburger bun packages as x and the number of hot-dog bun packages as y. We can set up a system of equations to represent the information given:

x + y = 12

2x + 1.5y = 20

To solve this system, we can use the method of substitution or elimination. Let's use substitution:

From the first equation, we can express x in terms of y: x = 12 - y. Substituting this into the second equation, we have:

2(12 - y) + 1.5y = 20

Simplifying, we get:

24 - 2y + 1.5y = 20

Combining like terms, we have:

-0.5y = -4

Dividing by -0.5, we find that y = 8. Substituting this back into the first equation, we can solve for x:

x + 8 = 12

x = 4

Therefore, the Tran family purchased 4 packages of hamburger buns and 8 packages of hot-dog buns.

Answer 2

Hamburger buns: 7

Hot dog buns- 4

what does it mean by system?