This is a simple problem of solving 2 equations with 2 unknowns:
1) 4blue + 5yellow = 49
2) 2blue + 1yellow = 17
Multiply equation 2) by 2:
2) 4blue + 2yellow = 34
Now, subtract 2) from 1):
(4blue + 5yellow) - (4blue + 2yellow) = 49 - 34;
3yellow = 15;
yellow = 5 meters
Substitute in equation 2)"
2blue + 5 = 17;
2blue = 12;
blue = 6 meters
the total length of 4 blue banners and 5 yellow banners is 49 meters. the total length of 2 blue banners and 1 yellow banner is 17 meters all banners of the same color have the same length. find the length of each blue banner.
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