Sixteen students in a drama club wants to attend a play. The ticket price is $35 for each student , and the transportation and meals for everyone will cost $960. To pay for the trip, the student design sweatshirts to sell for a profit of $19 per sweatshirt .if each student sells the same number of sweatshirts, how many sweatshirts must each student sell so that there will be enough money to pay for the entire cost of the trip? Show your work how many sweatshirt

The 16 students spend 560$ on tickets and then add 960$ for cost of transportation and food totaling 1520 divide that by 19$ for sweatshirts and the answer is 80 sweatshirts need to be sold to coat the students nothing

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ApusApus ApusApus · Answer 2 · 2019-01-01T19:22:40+01:00

Answer:

5 sweatshirts.

Step-by-step explanation:

We have been given that 16 students in a drama club wants to attend a play. The ticket price is $35 for each student.

Let us find the cost of tickets for 16 students by multiplying 16 by 35.

[tex]\text{Cost of tickets for 16 students}=16\times 35[/tex]

[tex]\text{Cost of tickets for 16 students}=560[/tex]

Now let us add the cost of meal and transportation to cost of tickets to find the total cost for attending the play.

[tex]\text{Total cost to attend the play}=560+960[/tex]

[tex]\text{Total cost to attend the play}=1520[/tex]

We are told that each sweatshirt gives a profit of $19. Let us find number of sweatshirts that must be sold to get $1520 by dividing 1520 by 19.

[tex]\text{Number of sweatshirts must be sold}=\frac{1520}{19}[/tex]

[tex]\text{Number of sweatshirts must be sold}=80[/tex]

Since there are 16 students, so let us divide total number of sweatshirts by 16 to find the number of sweatshirts that each student must sell.

[tex]\text{Number of sweatshirts that each student must sell}=\frac{80}{16}[/tex]

[tex]\text{Number of sweatshirts that each student must sell}=5[/tex]

Therefore, each student must sell 5 sweatshirts to get enough money to pay for the entire cost of the trip.