Consecutive Integer Problems
1. Find two consecutive even integers such that five times the first integer is equal to four times the
second integer.
8, 10
2. Find two consecutive even integers such that six times the first integer equals three times the
second integer.
2, 4
3. Nine times the first of two consecutive odd integers equals seven times the second. Find the
integers.
7, 9
4. Five times the first of two consecutive odd integers is three times the second. Find the integers.
3, 5
5. Find the three consecutive integers who sum is negative twenty-four.
- 9, - 8, - 7
6. Find the three consecutive even integers who sum is negative twelve.
- 6, - 4, - 2
7. Three times the smallest of three consecutive even integers is two more than twice the largest.
Find the integers.
10, 12, 14
8. Twice the smallest of three consecutive odd integers is five more than the largest. Find the
integers.
9, 11, 13
9. Find three consecutive odd integers such three times the middle integer is six more than the sum of
the first and third integers.
No Solution
10. Find three consecutive odd integers such that four times the middle integer is equal to two less
than the sum of the first and third integers.
- 3, - 1, 1
Unit-Value Problems
1. A coin bank contains pennies, nickels, and dimes. There are six times as many nickels as pennies
and four times as many dimes as pennies. The total amount of money in the bank is $7.81. Find the
number of pennies in the bank.
11 pennies
2.
In an Individual Retirement Account (IRA) valued at $49050, a couple has twice as many shares of
stock in Big Bank Corporation as ain Safe Savings and Loan. If Big Bank sells for $115 per share and
Safe Savings sells for $97 per shares, how many shares of each does the couple own?
150 shares of SS, 300 shares of BB
3. A collection of stamps consists of 22 cent stamps and 40 cent stamps. The number of 22 cent
stamps is three more than four times the number of 40 cent stamps. The total value of the stamps
is $8.34. Find the number of 22 cent stamps in the collection.
27 stamps
4. Last month, a book store ran the following ad, $12 for scientific calculator and $99 for graphing
calculator. Sale of $5370 were generated, with 15 more graphing calculator sold than scientific
calculators. How many of each type of calculator did the bookstore sell?
35 scientific calculators, 50 graphing calculators
5. A collection of stamps consists of 3 cent stamps, 7 cent stamps, and 12 cent stamps. The number of
3 cent stamps is five less than the number of 7 cent stamps. The number of 12 cent stamps is onehalf the number of 7 cent stamps. The total value of all the stamps is $2.73. Find the number of
each type of stamp in the collection.
13 3 cent stamps, 18 7cent stamps, 9 12 cent stamps
6.
A pension fund owns 2000 fewer shares in mutual stock funds than mutual bond funds. Currently,
the stock funds sell for $12 per share, and the bond funds sell for $15 per share. How many shares
of each does the pension fund own if their total value is $165000?
5000 shares of stock funds, 7000 shares of bound funds
7. A child’s piggy bank contains nickels, dimes and quarters. There are twice as many nickels as dimes,
and four more quarters than nickels. The total value of all the coins is $9.40. Find the number of
each type of coin.
24 nickels, 12 dimes, 28 quarters
8.
A seed company sells two grades of grass seed. A 100-lb bag of mixture of rye and Kentucky
bluegrass sells for $245, and a 100-lb bag of bluegrass sells for $347. How many bags fo each are
sold in a week when the receipts for 19 bags are $5369?
12 bags of mixture, 7 bags of bluegrass
9. A company sells two versions of the same software product. The regular version sells for $29.95.
The deluxe version sells for $39.95. Due to an inventory error, the number of each version sold was
lost. However, the company knows that there were 485 units of sales of the two versions combined
and the total revenue was $14667.10. How many of each version was sold?
95 deluxe versions, 363 regular versions
10. A company offers two dental plans for its employees: individual coverage at $22.75 each month, or
family coverage at $87.50 each month. The company has 26 employees with dental coverage
paying a total of $1757 each month in premiums. How many employees have individual coverage
and how many have family coverage?
8 have individual coverage, 18 have family coverage