Can someone please help me with these Math questions

Question

1)the student enrollment at a college is 25,300 and is expected to increase by 2% next year. What will the enrollment be then?

 

2) four times the sum of theee times a number and two is 44. Find the number.

3)five less than an unknown number is equal to twice the unknown number plus three. Find the number

 

 

thank you so much!

 

Answer 1

1) To solve this, we will change the percent increase into a decimal and add it to 1.     1 + 0.02

Next we will multiply that with the current college enrollment.     25,300 x 1.02 = 25,802

 

The enrollment will be 25,802 then.

 

2) We will first write the equation for this.     4(3n+2)=44

We now need to get n by itself so we will divide both sides by 4.     3n+2=11

Next we will subtract 2 from both sides.     3n=9

Finally we will divide both sides by 3.     n=3.

 

The number is 3.

 

3) We will first write the equation for this.    n-5=2n+3

We now will need to subtract n from both sides.     -5=n+3

Next we will subtract 3 from both sides.     -8=n

 

The unknown number is -8.