please show work!
1. At a book sale, your sister uses an equal number of quarters and nickels to buy a $1.20 book. How many quarters and how many nickels does she use?
2. You returned home from mowing lawns at 3 PM on Saturday. It took 1 1/2 hours to mow the first lawn. It took twice as long to mow the next lawn. After a half-hour lunch break, it took 1 1/4 hours to mow one more lawn. At what time did you start.
3. A salesperson bought a case of pens. On Monday, he sold 1/2 of the pens. on Tuesday, he sold 30 more. On Wednesday, he sold 1/3 of the pens that were left. On Thursday, he sold the remaining 40 pens. How many pens were originally in the case?
4. On the two days before a swim meet, you swan a total of 1 1/2 mi. On the second day, you swam 1/6 mi more that on the first day. How many miles did you swim each day?
5. A local pet groomer must clip the nails of 40 birds and cats. If there are 110 feet, how many birds are there? How many cats?
6. The vending machine in the school cafeteria only takes quarters, dimes, and nickels. Right now, a small light indicates that you must use only exact change.
a. Suppose you want o buy crackers that cost $.65. How many different combinations of coins can you use?
b.If you use exactly six coins, which coins do you use?
7. An apple orchard has 32 rows of apple trees. Each row contains 28 trees. This year’s harvest is 17,920 bushels of apples. What is the average number of bushels of apples that each tree produces?
8. The fifth water station in a 10-km race is 4 km from the finish line. The distance from this station to the first station is three times the distance from the first station to the station line. Find the distance from the first station to the starting line.
9. At a hospital, 40 of the babies born were either triplets or twins.
a. Could there have been only one set of triplets and all the rest twins? Explain.
b. How many different combinations of twins and triplets are possible?
10. Suppose you have a fish that quadruple in number every month. Your cousin has fish that double in number every month. In January, you have 4 fish and your cousin have 128. In which month will you both have the same number of fish?
