Jason and henry go to the movie theater and purchase refreshments for their friends.

jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn.

henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn.

write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

using these equations, determine and state the price of a drink, to the nearest cent.

Part 1) The system of equations is equal to

12x+y=66.75

3x+10y=82.50

Part 2) The cost of one drink is $5

Step-by-step explanation:

Part 1) Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn

Let

x> the price of one drink

y > the price of one bag of popcorn

we know that

Jason

12x+y=66.75 > equation A

Henry

3x+10y=82.50 > equation B

Part 2) Using these equations, determine and state the price of a drink, to the nearest cent

12x+y=66.75 > equation A

3x+10y=82.50 > equation B

Solve the system of equations by elimination

Multiply the equation A by -10 both sides

-10*(12x+y)=66.75*(-10)

-120x-10y=-667.5 > equation C

Adds equation B and C and solve for x

3x+10y=82.50

-120x-10y=-667.5

3x-120x=82.50-667.5

120x-3x=667.50-82.50

117x=585

x=5

therefore

The cost of one drink is $5

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights