1990 AJHSME Problems/Problem 24
From AoPSWiki
Problem
Three 
's and a 
will balance nine 
's. One will balance a and a .
How many 's will balance the two 's in this balance?
Solution
For simplicity, suppose 
, 
and 
. Then,
and we want to know what 
is in terms of 
. Substituting the second equation into the first, we have
Thus, we need 
's 
.
See Also
| 1990 AJHSME (Problems • Resources) | ||
| Preceded by Problem 23 | Followed by Problem 25 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
