A school buys some outdoor benches. They spend $385 in total for 5 benches. The company they use offers a discount scheme. The company they use offers a discount scheme. The first bench is full price. The nest two benches get a 25% discount on the full price. Any additional benches are reduced by 50% of the full price. What is the full price cost of a bench?
Suppose the full price cost of a bench is $x.
then x + 2 * (1 - 25%)x + 2 = (1 - 50%)x = 385
x + 2 * 0.75x + 2 * 0.50x = 385
x + 1.5x + x = 385
3.5x = 385
x = 110 dollars