Your school committee is planning an after school trip by 193 people to a competition at another school. there are 8 drivers available and two types of vehicles, school buses and mini vans. the school buses seat 51 people each and the mini vans seat 8 people each.
how many buses and mini vans will be needed? set up a system of equations to solve.

B = no. of buses
v = no. of vans

b + v less than or equal to 8  ( there are only 8 drivers, but don't have to use them all)

51b + 8v greater than or equal to 193 (the number of seats must be at least 193 but there can be spares)

So these are the inequalities to solve. I did start doing a linear programming graph but the second inequality is horrible so I hope you don't need to actually solve them.

16 mm

Step-by-step explanation:

cosine rule: c^2 = a^2 + b^2 - 2abcosC

15^2 + 10^2 - 2(15)(10) × cos(20) = 255.051288633

root 255.051288633 = 15.9703252513

round to 16 for suitable scaling