Question

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $0.15 per kilogram, and she wants to spend $12 dollars total. Here's a graph that shows a system of equations for this scenario where x is the amount of white corn she buys and y is the amount of yellow corn she buys.

Answer 1

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

$x+y=50$ ----> equation A

She wants to spend $12 dollars total

so

$0.30x+0.15y=12$ ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

$15+15=30\ kg$

$30\ kg < 50\ kg$

Total spend is

$0.30(15)+0.15(15)=\ 6.75$

$\ 6.75$

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

Answer 2

Answer:

Marcelina spends the intended amount of money and buys the intended amount of corn.