Mr. Thomsen is buying two types of gift cards to give as prizes to employees at a company meeting. He will bu restaurant gift cards that each cost $50. He will also buy movie theater gift cards that each cost $20 He has $450 to buy a total of 15 gift cards. How many of each gift card can Mr. Thomsen buy?

Respuesta :

He could get five of the 50 dollars cards, and 10 of the 20 dollars cards.

50 times 5 is 250.  20 times 10 is 200.   200 plus 250 equals to 450.


The number of restaurant gift cards is 5 and the number of movie theater gift cards is 10.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Mr. Thomsen is buying two types of gift cards to give as prizes to employees at a company meeting.

He will buy restaurant gift cards that each cost $50.

He will also buy movie theater gift cards that each cost $20.

He has $450 to buy a total of 15 gift cards.

Let the number of restaurant gift cards be x and the number of movie theater gift cards be y.

Then

x + y = 15 ...1

And

50x + 20y = 450 ...2

On solving equations 1 and 2, then we have

x = 5 and y = 10

More about the linear system link is given below.

https://brainly.com/question/20379472