1) A bag contains 36 marbles. There are one quarter as many **purple marbles** as **red ones.** There are three times as many **green** as **purple marbles**. How many green marbles in the bag?

There are 36 marbles in the bag.

so **Red** + **Purple** + **Green** = 36

We don't know how many red marbles there are so red will be x. There is 1/4 purple marbles out of the red ones so purple will be 1/4x. And lastly, for green, there are 3 times the number of purple marbles so green will represent 3(1/4x).

So you have to add all of those to get the number of marble in the bag.

**x + 1/4x + 3(1/4x) = 36**

That is your equation. Now solve for x.

So there are 18 red marbles. Now you fill in x will 18 to find out how many green marbles there are in the bag.

3(1/4x) = Number of green marbles

3(18/4) = Green

3(4.5) = Green

13.5 = green

There are 13.5 green marbles in the bag.

2) A skier takes 1.2 minutes to complete a run of 2 km. How fast in meters/second was he going?

First you must convert minutes into seconds and kilometers into meters. There are 60 sec in 1 min and there are 1000 meters in 1 km.

1.2(60)=72 sec

2(1000)=2000 m

Then you use to formula s=d/t.

He was going at a speed of 27.78 m/s.

3) A regular hexagon has 6 sides. What is the measure of one interior angle? What is the measure of all interior angles?

There are 6 triangles in a hexagon.

In an equilateral triangle the interior angles are 60 degrees.

You add them to get the interior angle of a hexagon.

60+60=120 degrees

One interior angle of a hexagon is 120 degrees.

To find them all out you multiply one angle by 6.

120(6)=720 degrees

All of the interior angles are 720 degrees.

Homework:

8.4 Text Book Work

-1-23 and 26-30

White Sheets

-All up to Age Problems

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