Math problems for Dec. 2 2011

Problem #1


In a stationary store, pencils have one price and pens have another price. Two pencils and three pens cost 78 cents. But three pencils and two pens cost 72 cents. How much does one pencil cost?


Problem #2: 17-2


One loaf of bread and six rolls cost $1.80. At the same price, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost?



Problem #3: 41-5



A restaurant has a total of 30 tables which are of two types. The first type seats two people at each table; the second type seats five people at each table. A total of 81 people are seated when all seats are occupied. How many tables for two are there?



Problem #4: 12-4


A dollar was changed into 16 coins consisting of just nickels and dimes. How many coins of each kind were in the change?
Problem #5


From a pile of 100 pennies(P), 100 nickels(N), and 100 dimes(D), select 21 coins which have a total value of exactly $1.00. In your selection you must also use at least one coin of each type. How many coins of each of the three types(P, N, D) should be selected?


Problem #6


A dealer packages marbles in two different box sizes. One size holds 5 marbles and the other size holds 12 marbles. If the dealer packaged 99 marbles and used more than 10 boxes, how many boxes of each size did he use?


Problem #7: 43-5


Barbara has 20 coins consisting of nickles and dimes. If the nickles were dimes and the dimes were nickels, she would have 30 cents more than she has now. How many dimes did she have to begin with?


Problem #8: 46-2


Tickets for a concert cost $2 each for children and $5 each for adults. A group of thirty people consisting of children and adults paid a total of $87 for the concert. How many adults were in the group?

Math problems for Nov. 11 2011

Problem #1


In the USA, the symbol 5/2 means the 5th month, 2nd day, or May 2. But in England, 5/2 means the fifth day, 2nd month, or February 5. How many days of the year each have the same symbol in both the USA and England?


Problem #2


The product of two numbers is 504 and each of the numbers is divisible by 6. However, neither of the two numbers is 6. What is the larger of the two numbers?


Problem #3


A rectangular garden is 14 ft. by 21 ft. and is bordered by a concrete walk 3 ft. wide as shown below. How many square feet are in the surface area of just the concrete walk?





Problem #4


Four numbers are arranged in order of size and the difference between any two adjacent numbers is the same. Suppose 1/3 is the first and 1/2 is the fourth of these numbers. What are the two numbers between 1/3 and 1/2?


Problem #5


Each o the three diagrams at the right shows a balance of weights using different objects. How many cubes will balance a ball?