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
