Number, Percent and Geometry Problems
To solve a word problem, it is helpful to remember some basic vocabulary:
|The sum of two numbers is
five more than one number
|the length and the width differ by
three dollars less than the cost of a ticket
||the product of two numbers
||the quotient of two numbers
||the length is twice the width
Convert to a math expression :
Elizabeth is five years younger than the combined age of Sarah and
E = S + B - 5
The product of the length and the width is 10 more than the height.
lw = h + 10
The sum of two consecutive integers is 29.
n + (n + 1) = 29
The product of two consecutive even integers is 168.
2n (2n + 2) = 168
The words "percent of" mean
20 percent of 50 means
The price of a meal and a 15% tip was $11.50. What was
the price of the meal?
Let x be the price of the meal.
x + 0.15x
Price of meal
+ 15/100 times the price of the meal
Combining like terms
Hence the price of the meal
$800 is invested into an account paying 3% interest.
How much money should be invested into an account paying 4% interest
so that the total interest earned is $30?
Below are some geometrical facts.
Area of a triangle = 1/2 bh
(b is the base and h
is the height)
Area of a rectangle = bh (b is the base and h
Sum of the angles of a triangle is 180.
The perimeter is the sum of the sides.
Isosceles means two sides (and two angles) are equal.
Find the angles of a triangle if the smallest angle
is 5 degrees less than the next smallest, which is
20 degrees less than the
Let x be the measure of the smallest angle. Then
the middle angle has measure
5 + x
and the largest has measure
20 + (5 + x)
x + (5 + x) + (25+ x)
= 180 Sum of the angles of a triangle is
3x + 30
x + x + x = 3x, 5 + 25 = 30
3x = 150
30 on both sides
Dividing by three
x = 50
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