# Brain Exercise June 21

## So how much DOES that weigh?

These are units of measurement that are not used every day.  Can you match the name of the unit with its definition?

1. Peck                A. 2.47 acres
2. Flagon            B. Equal to a gallon
3. Joule               C. 14 pounds or 6.4 KG
4. Beaufort         D. 6 feet deep
5. Barrel               E. 3 miles or 4.8 Km nautical
6. Stone               F. 31.5 gallons US, ½ hogs head, ¼ of a butt
7. Dram               G. 1/16 of an ounce
8. Fathom           H. 8 quarts or ¼ bushel
9. Hectare           I. Scale that measures windspeed or hurricanes
10. League           J.  Unit of work or energy= work done by a force of one Newton acting through one meter

1. If 6 apples+ 3 bananas cost 43 ½ cents, and 5 apples + 7 bananas cost 61 cents ( I wish!!) , then what is the value of 1 apple + 1 banana?
2. A bag of sand weighs 17.5 lbs + 7/9 of its total weight.  How much does the bag of sand weigh?
3. What word can be placed within the parentheses to finish the first word and start the second?     PUT (___ ____ _____) DEN
4. Change just one letter in each of the following words to form a familiar phrase

BE  TIE   WAS

5. The following well-known quotation from William Shakespeare has had all of the vowels removed and the remaining consonants have been broken up into groups of five.  Replace the vowels and find the quotation.

WHTSN   NMTHT    WHCHW   CLLRS     BYNYT     HRNMW     LDSML     LSSWT

So how much DOES that weigh?

1. H

2. B

3. J

4. I

5. F

6. C

7. G

8. D

9. A

10. E

1. Hang on for this one!!!!  Apple = 4 ½ cents     Banana  = 5 ½ cents

The trick is to multiply each equation by a number so that it’s possible to eliminate one of the variables:

6A + 3 B   = 43 ½ cents (multiply by 5 )

5 A + 7 B  = 61 cents (multiply by 6)

1 = 30 A + 15 B = 217 CENTS

2 = 30 A + 42 B = 366 CENTS (SUBTRACT 1 FROM 2)

27 B = 148 ½ cents

One B = 5 ½ cents

One A = 4 ½ cents

Give yourself a pat on the back if you got that one!

2. 78.75 lb.  Let Y = weight of sand

17.5 lb. + 7/9 Y = Y

Therefore 17.5 lb must equal 2/9 Y

So 1/9 Y must equal 8.75 lb.

So 8.75 X 9 = Y