Hartmann's Homework Help



(1) Phoebe wants to mix raisins worth $1.60 per pounds with nuts worth $2.45 per pound to make 17 pounds of a mixture worth $2 per pound. How many pounds of raisins and how many pounds of nuts should she use?

(2) The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

(3) A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totalled $487. The second order was for 6 bushes and 2 trees, and totalled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?

(4) A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

(5) Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication?

(6)

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(7) The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

(8) Calvin has $8.80 in pennies and nickels. If there are twice as many nickels as pennies, how many pennies does Calvin have? How many nickels?

(9) A total of 78 seats for a concert are sold, producing a total revenue of $483. If seats cost either $2.50 or $10.50, how many $2.50 seats and how many $10.50 seats were sold?

(10) Tickets to a concert cost either $12 or $15. A total of 300 tickets are sold, and the total receipts were $4140. How many of each kind of ticket were sold?

(11) An investor buys a total of 360 shares of two stocks. The price of one stock is $35 per share, while the price of the other stock is $45 per share. The investor spends a total of $15,000. How many shares of each stock did the investor buy?

(12) Phoebe has some 32-cent stamps, some 29-cent stamps, and some 3-cent stamps. The number of 29-cent stamps is 10 less than the number of 32-cent stamps, while the number of 3-cent stamps is 5 less than the number of 29-cent stamps. The total value of the stamps is $9.45. How many of each stamp does she have?

(13) The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.

(14) The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando,Florida .The gift wrap in solid colors sold for $4.00 per roll ,and the print gift wrap sold for $6.00 per roll .The total number of rolls sold was480 ,and the total amount of money collected was $2340. How many rolls of each of each kind of gift wrap were sold?

(15) If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost?

(16) Cadence has a collection of 52 dolls that all have either blue eyes or green eyes. Cadence has 16 more blue-eyed dolls than green-eyed dolls.

(17) Dalton has 7 bills, all tens and twenties, that total $100 in value. How many of each bill does he

have?

(18) Eldora and Finn went to an office supply store together. Eldora bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70. Find the cost of one box of paper clips and the cost of one package of index cards.

(19) Galina spent $3.60 for stamps to mail packages. Some were 30¢ stamps and the rest were 20¢

stamps. The number of 20¢ stamps was 2 less than the number of 30¢ stamps. How many stamps

of each kind did Galina buy?

(20) Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how

many cups of each type did he sell?

(21) Ilida went to Minewaska Sate Park one day this summer. All of the people at the park were either hiking or bike riding. There were 178 more hikers than bike riders. If there were a total of 676

people at the park, how many were hiking and how many were riding their bikes?

(22) A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the company ordered a total of 2992 forks, how many adults and how many children will be attending the event?

(23) Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping bags. The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the flashlights and sleeping bags was $1785, how many flashlights and how many sleeping bags did Juanita and Keenan order?

(24) Lakota bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices,

Mackenzie bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of

buying a single used compact disk.

(25) An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?

(26) The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a total of 37 two-point and three-point baskets. How many two-point shots did the Lakers make? How many three-point shots did the Lakers make?

(27) Brent and Kay work as carpenter's apprentices. On the first day Brent worked for 4 hours and Kay worked for 5 hours, and they hammered in a total of 305 nails. On the second day Brent worked for 3 hours and Kay worked for 7, and they hammered in a total of 349 nails. How many nails can each person hammer per hour?

(28) The sum of two numbers is 36. Their difference is 8. What is the larger of the two numbers?

(29) Ben has a handful of dimes and quarters worth $6.70. After giving away 3 dimes and half the quarters, he is left with $3.90. How many dimes did Ben start with?

(30) A farmhouse shelters 16 animals. Some of them are chickens and the others are cows. Altogether these animals have 60 legs. How many chickens and how many cows are in the farmhouse?

(31) Rodney’s Kitchen Supplies makes and sells spoons and forks. It costs the store $2 to buy the supplies needed to make a fork, and $1 for the supplies needed to make a spoon. The store sells the forks for $4 and the spoons for $5. Last month Rodney’s Kitchen Supplies spent $39 on supplies and sold the all of the forks and spoons that were made last month using those supplies for $93. How many forks and spoons did they make?

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