One Potatoe, Two Potatoe....

Reese began peeling a pile of 44 potatoes at the rate of 3 per minute. Four minutes later, Christian joined him, and peeled at the rate of 5 potatoes per minute. When they were finished, how many potatoes had each peeled?

How Many Marbles?

Mrs. Hayes is holding a bag containing 24 colored marbles. The colors are red, green, and blue. There are twice as many red marbles as green marbles, and one more red marble than blue marbles. How many of each color marble are in the bag?

So....What's in the Bag?

In front of me, I have level scales. On each side, there are 3 bags. In each bag, there are some marbles. There are 150 Marbles in total. Using the clues below, work out how many marbles are in each bag.

Bag 1 + Bag 2 = 56 marbles
Bag 1 + Bag 3 = 54 marbles
Bag 2 + Bag 3 = 40 marbles
-------------------
Bag 4 + Bag 5 = 61 marbles
Bag 4 + Bag 6 = 37 marbles
Bag 5 + Bag 6 = 52 marbles

Your task is to label the bags 1-6 and tell how many marbles are in each bag!

Bag 1 =
Bag 2 =
Bag 3 =
Bag 4 =
Bag 5 =
Bag 6 =

Carson's Mail Dilemma

Blake's brother, Carson, is sending pictures from his fall baseball games with letters to friends. The weight of each envelope will require 55 cents postage. Carson has a selection of the following different stamps from which to choose:

52-cent Hubert H. Humphrey stamp
32-cent flag stamp
23-cent Mary Cassatt stamp
20-cent bird stamp
15-cent Buffalo Bill Cody stamp
3-cent bird stamp

Carson wants each envelope to have exactly 55 cents in postage, and to have a different combination of stamps.

What are the different stamp combinations Carson can use on the envelopes, if he has room for no more than 5 stamps on an envelope?

Analyze the Data

Forty-eight boys and girls in New England were surveyed on their participation in two winter sports. The survey asked the following questions.

Have you ever snowboarded?
Have you ever skied?
Have you both snowboarded and skied?
Have you neither snowboarded nor skied?

The graph above shows the results of the survey, but it does not label each pair of bars. Here are statements on the results of the survey.

• Three times as many boys as girls have both snowboarded and skied.
• The number of girls who have skied is the same as the number of girls who have neither skied nor snowboarded.
• The number of boys who have only skied plus the number of boys who have only snowboarded equals the number of boys who have done neither sport.
• Twice as many boys have only skied as have only snowboarded.

QUESTIONS:
How many boys have only snowboarded, have only skied, have snowboarded and skied, or have done neither sport?
How many girls have only snowboarded, have only skied, have snowboarded and skied, or have done neither sport?