Question

High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you got your answers so i know for when theres a test on it.)

Answer 1

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5