1. The initial price of a hair tie is $.75. The hair tie is taxed 4% and discounted 2%. Find the final price.
2. The final price of a notebook is $3.99. This is after a 5% tax and 15% discount. Find the initial price.
3. The original price of a water is $1.57. Find the final price after a 3% discount and 8% tax.
4. Maple’s needs to make a 17% profit on all items. If Maple’s buys notebooks for $.68 and sells them for P, find the value of P.
5. The ratio of SAT to ACT students is 5 to 4. If there are 261 students, how many take the ACT if all of these students take either the SAT or ACT?
6. Twelve students compete for President, Vice President, and Secretary. How many winning sets could be formed?
7. Fifteen students compete to join the Economics club. There are only four spots. How many different groups of students could be made?
8. Nineteen athletes compete for a chance to be in a final round. The final round has five athletes. How many different final rounds could be formed?
9. The ratio of boys to girls is 3 to 4. If there are 91 students, how many students are girls?
10. The ratio of apples to bananas is 8 to 17. If there are 204 bananas, how many apples are there?
11. Collection of Hair ties

 

 

Blue 5          Red 2          Black 10          Tan 12

Brown 14     White 3       Purple 1

 

• If three hair ties are randomly selected, find the probability that all are tan. Once a tie is selected, it is not placed back in the collection.
• If four hair ties are randomly selected, find the probability that three are brown and one is white.
• If five hair ties are randomly selected, find the probability that 3 are brown and 2 are blue.
• If 4 ties are randomly selected, find the probability that two are brown and 2 are black.
• If 6 ties are randomly selected, find the probability that 4 are black and 2 are blue.