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

Respuesta :

First you multiply 16 by 35

16 • 35 = 560

add the 960

560 + 960 = 1520

then divide by 16

1520 / 16 = 95

then divide by 19

95 / 19 = 5

each student must sell 5

Steps

So firstly, we need to find how much the entire trip will cost. To do this, add the product of 16 and 35 (since tickets are 35 per student, and there are 16 students) with 960:

[tex](35*16)+960\\560+960\\\\\$ 1520[/tex]

The total cost of the trip is $1520. Next, we know that the sweatshirts will be making a profit of $19 per article sold so divide 1520 by 19:

[tex]1520\div 19=80[/tex]

The students need to sell 80 sweatshirts total to get enough money for the trip. Now, to know how many sweatshirts each student needs to sell individually, divide 80 by 16 (since there are 16 students):

[tex]80\div 16=5[/tex]

Answer

In short, each student must sell 5 sweatshirts to pay for the entire trip.

RELAXING NOICE
Relax