Christian and Benjamin go to the movie theater and purchase refreshments for their friends.

Christian spends a total of $42.75 on 6 drinks and 3 bags of popcorn.

Benjamin spends a total of $98.75 on 10 drinks and 15 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.

System of equations:

6d + 3p = 42.75

10d + 15p = 98.75

Drink = $5.75

Popcorn = $2.75

Step-by-step explanation:

6d + 3p = 42.75

subtract 6d from both sides

3p = 42.75 - 6d

divide both sides by 3

p = 14.25 - 2d

substitute P in the second equation with the answer and solve for D

10d + 15( 14.25 - 2d) = 98.75

distribute out the 15

10d + 213.75 -30d = 98.75

-20d + 213.75 = 98.75

subtract 213.75 from both sides

-20d = -115

divide both sides by -20

d = 5.75

substitute D back in the first equation and solve for P

3p + 6(5.75) = 42.75

multiply the 6 and 5.75

3p + 34.5 = 42.75

subtract 34.5 from both sides

3p = 8.25

divide both sides by 3

p = 2.75

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.