14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretz

Question

1 year ago

7

els for $2. They have raised a total of $280 and have of 130 items. How many of each item did they sold a total sell?

2 answers:

nadezda [96] · Answer 1 · 2023-10-10T19:35:41+03:00

Answer:

90 pretzels and 40 popcorn.

Step-by-step explanation:

This problem can be solved using a linear equation system.

Let's give each product a varaible:

x= popcorn.

y= pretzels.

Now, let's set up the equation system:

1. x+y=130

(Means that they have sold a total of 130 items of both products combined).

2. 2.5x+2y= 280

Now, let's solve the equation system through the substitution method.

Take one of the equations and extract a value of one of the variables:

From equation 1, solving for x, x=130-y.

Now, use that expressión and substitute it by x in equation 2:

2.5(130-y)+2y= 280

Now, let's find the value of y.

2.5(130-y)+2y= 280

325-2.5y+2y=280

-2.5y+2y=280-325

-0.5y= -45

y= -45/-0.5

y= 90

Now, use that value of y in equation 1 to find the value of x:

x+(90)=130

x=130-90

x=40

We have that y= 90 and x=40, translated to textual language, Pretzels=90 and Popcorn= 40.

Mamont248 [21] · Answer 2 · 2023-10-10T17:33:31+03:00

Answer:

============

Let the number of popcorns is x and pretzels is y.

Set up equations:

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

Find y: