5 minutes out of 45 have been completed. We can represent this as a fraction: 5/45. When simplified, this yields 1/9. 

First night: 8 – 3 = 5 remaining.

Second night: 20% of 5 remaining = .2 * 5 = 1 slice Therefore 4 remaining.

Third night: ½ of the 4 remaining = ½*4 = 2 slices remaining

Since 1/4 of the 16 are red: 16 * 1/4 = 4 red candies.  With 3/8 being green:

16 X 3/8 = 6 green candies.   16 – 4 – 6 = 6 candies remain, which must be purple.

The question tells us that for every ten-day period in January (a three-day period plus a seven-day period), it snowed on 3 of those days and did not snow on 7 of those days. Since January has 30 days, it has 3 ten-day periods, so we multiply the numbers given for the 10-day period by 3 to find the  number of days with and without snow during the 30-day period. Doing this, we see that it snowed 3 * 3 = 9 days and did not snow 7 * 3 = 21 days during the 30-day period. Since the question asks how much greater the number of days on which it did not snow is than the number of days on which it snowed, we subtract as follows: number of days it did not snow - number of days it snowed = 21 – 9 = 12.

If Mikey eats 1/3 of the box, he is left with 1 – 1/3 = 2/3.

When he eats 2/3 of what remains, he is eating 2/3 of 2/3, or 4/9 of the box.

2/3 – 4/9 = 2/9

Long division is the fastest way: 6 goes into 27 four times. 6 times four is 24. 27 – 24 = 3.

The dark purple wedge, which represents Johns, is about one-sixth of the circle, so roughly one-sixth of the voters chose him. This is about

so 1,000 is the best choice among the ones given.

Create an equation to represent the combined weights, in pounds, of Kim, Jim and Tim.

Now, taking the other information we are given, put the weights of Kim and Tim in terms of Jim:

Kim weighs two-thirds of Jim:

Jim weighs 50 pounds more than Tim is the same as saying that Tim weighs 50 pounds less than Jim:

Replace the variables of Kim and Jim in the equation with their substitutions:

Solve for Jim's weight. To combine the fractions, put all variables in terms of thirds and combine like variables:

Jim weighs 180 pounds. Kim weighs two-thirds of 180:

The combined weight of Jim and Kim is equal to:

Begin by finding how many blue and green ties there are in the department store. If one-third of 60 ties are blue, then there are 20 blue ties:

Addtionally, if two-fifths of the ties are green, then there are 24 green ties:

To find the number of red ties, subtract the green and blue ties from the total number:

There are 16 red ties in the department store.

Let p represent the total capacity of the pitcher.  The current volume in the pitcher is .  If this volume is depleted by  ounces, it becomes .  In other words:

Solve this equation for  and get:

Remember,  represents the total capacity of the pitcher, or 60 ounces.  The question asks how many ounces are in the pitcher at the beginning of the problem, so evaluate.