A number is less than one fourth the sum of three times the number and four

Mathematics

1 answer:

Neko [114]3 years ago

3 0

Answer:

Step-by-step explanation:If we write the inequality out, we get this: x < 1 4 ( 3 x + 4 ) Now we just need to solve for x. Multiplying both sides by 4 yields: 4 x < 3 x + 4

Step-by-step explanation:

If we write the inequality out, we get this:

(

)

Now we just need to solve for x. Multiplying both sides by 4 yields:

Subtract 3x from both sides:

So any number less than 4 will work!

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A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3296 tickets overall. It has s

rodikova [14]

Answer:

1022 of $10 tickets, 1326 of $20 tickets, 948 of VIP $30 tickets

Step-by-step explanation:

We can set-up a system of equations to find the number of each kind of ticket. We know there are the cheap tickets c, the medium tickets m and the VIP tickets v. Since 3296 tickets were purchased, then c+m+v=3296.

We also know that 304 more medium priced tickets have been sold then cheap tickets. We write 304+c=m.

Lastly, we know that a total of $65,180 was sold. We write 10c+20m+30v=65,180.

We will solve by substituting one equation into the other. We substitute m=304+c into c+m+v=3296. Simplify and isolate the variable v.

c+m+v=3296

c+(304+c)+v=3296

c+304+c+v=3296

2c+304-304+v=3296-304

2c-2c+v=2992-2c

v=2992-2c

We will now substitute this into the remaining equation with our first substitution.

10c+20m+30v=65,180

10c+20(304+c)+30(2992-2c)=65,180