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Let’s return to the story of King Midas and his children, Prince Charming and Princess Perfect. The king has more gifts to give and he will leave them on two tables in the royal treasury. He is giving his children the same amount of coins each week.

In each of the following situations determine how many coins are in each bag. Draw a picture to represent each situation. Illustrate how you found the number of coins in each bag using the picture.

Starter Problems

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Week 1:

Princess Perfect received 2 bags and four gold coins on her table while

Prince Charming received 12 coins. How many coins are in each bag?

Princess

Prince

Set aside 4 loose coins from each child.

Split the remaining items into equal groups

Each bag contains 4 coins

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Week 2: The king has saved a bunch of coins for the twins. The Prince

has 3 bags and 7 coins. The Princess has 16 coins. How many coins are

in each bag if the king loves them both equally?

Princess

Prince

Set aside 7 loose coins from each child.

Split the remaining items into equal groups

Each bag contains 3 coins

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Week 3: Today in the treasury, the Prince found 4 bags and 6 coins. The Princess found 10 coins. How many coins are in each bag?

Princess

Prince

Set aside 6 loose coins

from each child.

Split the remaining items into equal groups

Each bag contains just a single coin

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Week 4: Recall what would happen if King Midas did not love his children equally. Pretend this week that he loves the Prince more than his daughter. If the Prince received 22 coins and the Princess got 2 bags and 7 loose gold coins, how many coins are in each bag?

Prince

Princess

Set aside 7 loose coins

from each child.

Split the remaining items into equal groups

Each bag contains 7 or fewer coins (less than seven and a half coins)

Do the 15 remaining

coins split evenly?

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Steps for solving 2-Step Problems

1. Locate the variable, and determine which number is most closely connected to it,

save this number for later (it is the “best friend” of the variable)

-often it is closest by multiplication/division, unless grouping symbols are involved

2. Use inverse operations to move the other number away (send home the “regular friend” of the variable)

3. Use inverse operations to isolate the variable (send home the “best friend” of the variable)

4. Check your solution!!

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