General Word Problems

how to equalize wages

(amt paid A - x)/hours A - (amt paid B + x)/hours B

Remainder if 1/y of x is removed from x

x(y - 1)/y will remain

how to equalize wages

(amt paid A - x)/hours A - (amt paid B + x)/hours B

Remainder if 1/y of x is removed from x

x(y - 1)/y will remain

Simple Interest =

Principal x Rate x Time (must match units)

Future Value incl. Compounded Interest

Principal ( 1 + rate/periods per year)^{periods x years}

Linear Growth Formula

Final = growth constant(time periods) + initial size

Exponential Growth Formula

Final = (initial value)(growth factor)^{time periods}

Value of any 2 digit number

10(tens digit) + ones digit

Sum of 3 consecutive integers

x + (x+1) + (x+2)

Sum of 3 consecutive even/odd integers

x + (x+2) + (x+4)

Sum of 3 consecutive multiples of y

x + (x+y) + (x+2y)

Attributes of a Dry Mixture Table

Units, Quantity, Total

Attributes of a Wet Mixture Table

Concentration %, Quantity, Total

Trick for mixtures w/ replacements

Start completing the matrix AFTER part of the mixture has been removed.
Original solution has quantity of Q - r
Replacement has quantity of r

Total length of a line with one object

X + Y + 1
(size between object and back) + (size between object and front) + object

Total length of a line with two objects

X + Y + Z + 2
sizes between each object or ends + 2 objects