Question

Abby, Brenda, Celia, Denise and Elizabeth are going to their town’s annual hayride. Tickets cost $8.00 for people 12 years old and older but only $5.00 for people 11 years old and younger. The total price for their five tickets is $31.00. How many people in the group are 12 years old or older?

The group of five girls managed to secure five seats in a row on the crowded hayride. In how many orders can the five girls sit if they all sit in a row?

In an attempt to minimize the lines this year, the hayride operators decided to run 3 flatbeds at a time. Initially, they use 20 bales of hay on each flatbed. They find that at the end of each day they need to replace half of the hay on each of the flatbeds to be ready for the next day’s business. How many total bales of hay will the hayride operators have used on the 3 flatbeds after they replenish the hay at the end of the fifth day of business?

Answer 1

Therefore, after replenishing the hay at the end of the fifth day, the hayride operators will have used a total of 20 - (1 7/8) = 18 1/8 bales of hay on the three flatbeds.

Explanation:

Initially, each flatbed has 20 bales of hay. At the end of each day, they replace half of the hay on each flatbed.

After the first day, each flatbed will have 20 x (1/2) = 10 bales of hay remaining.

After the second day, each flatbed will have 10 x (1/2) = 5 bales of hay remaining.

This pattern continues, halving the amount of hay each day.

After the fifth day, each flatbed will have 20 x (1/2)^5 = 20 x (1/32) = 20/32 = 5/8 bales of hay remaining.

Since there are three flatbeds, the total number of bales of hay remaining on the three flatbeds will be:

(5/8) x 3 = 15/8 = 1 7/8 bales of hay