Question

GUYS HELP IDK WHAT TO DO!!! PLEASE

1. Hunter needs to make trail mix with nuts and dried fruit. The nuts cost $4 per pound and the dried fruit costs $3.50 per pound. Hunter can spend a total of $22 and he needs to make six pounds of trail mix.
Let x = the amount of nuts.
Let y = the amount of dried fruit.
How many pounds of dried fruit can Hunter purchase?

2. A high school drama club is selling tickets for their annual musical. There is a maximum of 600 tickets for the show. The tickets cost $5 (if bought before the day of the show) and $7 (if bought on the day of the show).

Let x represent the number of tickets sold before the day of the show and y represent the number of tickets sold the day of the show. To meet the expenses of the show, the club must sell at least $3500 worth of tickets.

The club sells 330 tickets before the day of the show. Is it possible to sell enough additional tickets on the day of the show to meet the expenses of the show?

Answer 1

1.) Let x = the amount of nuts.
Let y = the amount of dried fruit.

We are told:
x + y = 6
4x+3.5y = 22

Substitute by solving first equation for x:
x=6-y

4(6-y)+3.5y=22
24-4y+3.5y=22
-0.5y=-2
Thus, y = 4

So since x =6 - y
x = 2.
Hunter will buy 4 pounds of dried fruit and 2 pounds of nuts.

2) Let x = the number of tickets sold before the day of the show. Let y = the number of tickets sold the day of the show.

x + y = 600
5x*7y =3500

We are given x = 330.
Thus y = 600 - 330, or 270. The club can sell 270 tickets the day of the show.

Is it enough?
5*330+7y = 3500
1650 +7y =3500

7y = 1850
y ~= 264.2 which is less than 270.

Thus, there are enough tickets available for sale on the day of the show that would allow the club to reach the sales goal of $3500.