Number Problems
What is the let x statement of the following:
If x represents the first of two numbers, how do you represent the second, if it is three more than five times the first?
Let x = 1st #
Let 5x+3 = 2nd #
What is the total value, in cents, of 28 quarters?
$7
If x=50 , then what integers are represented by x, x+2 , x+4 , x+6 , and x+8 ?
50, 52, 54, 56, 58
The length of a rectangle is twice the width. If the perimeter of the rectangle is 54 m, find the dimensions of the rectangle.
9 m by 18 m
Find a number such that three less than twice the number is 57.
The number is 30.
Michael has nine more loonies than toonies, the total amounting to $27. How many of each does he have?
15 loonies, 6 toonies
Find three consecutive integers whose sum is 81.
The integers are 26, 27, 28
Monique has 14 stamps: some have a value of 49¢ each and others have a value of 65¢ each. If the total value of all the stamps is $7.50, how many of each does she have?
four 65¢ stamps, ten 49¢ stamps
Find a number such that the sum of the number and thirteen more than six times the number is 90.
The number is 11.
In receiving change for a loonie Anthony received only dimes and nickels. If there were two fewer dimes than nickels, how many of each did he receive?
6 dimes, 8 nickels
Find two consecutive even integers whose sum is 102.
The integers are 50 and 52
Together Andy and Mike found 48 golf balls. Three times the number Andy found is the same as five times the number Mike found. How many golf balls did each of them find?
Andy found 30 and Mike found 18.
Two numbers that differ by 10 have a sum of 152. Find the numbers.
The numbers are 71 and 81.
Ian has 40 coins, consisting of nickels and quarters, whose value is $4.80. How many of each does he have?
26 nickels, 14 quarters
Find three consecutive even integers such that three times the first equals the sum of the other two.
The integers are 6, 8, 10.
Three numbers have a sum of 130. The second number is five larger than the first, and the third number is fifteen larger than the second. Find the three numbers.
The first number is 35, the second is 40, and the third is 55.
Two numbers have a sum of 70. Five times the larger number is the same as nine times the smaller number. Find the numbers.
The numbers are 45 and 25.
Justin received some dimes, quarters, nickels, and pennies in exchange for one loonie. There were two more dimes than quarters, two more pennies than dimes, and there were as many nickels as the combined number of dimes and pennies. How many of each kind of coin did he receive?
1 quarter, 3 dimes, 5 pennies, 8 nickels
Find four consecutive even integers such that four times the fourth decreased by one half the second is 9.
The integers are -4,-2,0,2 .
A concert attracted 3000 fans, some of whom paid $30 per ticket and the others paid $45 per ticket. If the receipts from all the tickets totalled $109 500, how many of each kind of ticket were sold?
1700 30-dollar tickets and 1300 45-dollar tickets