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The currency used on the planet Zog consists of bank notes of a fixed size differing only in colour. Three green notes and eight blue notes are worth 46 zogs; eight green notes and three blue notes are worth 31 zogs. How many zogs are two green notes and three blue notes worth?

 May 27, 2015

Best Answer 

 #1
avatar+33661 
+15

3g + 8b = 46       (1)

8g + 3b = 31       (2)

 

Multiply (1) by 8 and (2) by 3:

24g + 64b = 368      (3)

24g + 9b = 93          (4)

 

Subtract 4) from (3)

55b = 275   

So b = 275/55 or b = 5

 

Put this back into (1)

3g + 40 = 46

3g = 6

g = 2.

 

You can now work out 2g + 3b

.

 May 27, 2015

2+0 Answers

 #1
avatar+33661 
+15
Best Answer

3g + 8b = 46       (1)

8g + 3b = 31       (2)

 

Multiply (1) by 8 and (2) by 3:

24g + 64b = 368      (3)

24g + 9b = 93          (4)

 

Subtract 4) from (3)

55b = 275   

So b = 275/55 or b = 5

 

Put this back into (1)

3g + 40 = 46

3g = 6

g = 2.

 

You can now work out 2g + 3b

.

Alan May 27, 2015
 #2
avatar+675 
+6

Yes!!! 19 zogs

BIG money!

 May 27, 2015

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