Posted by Micaela on Friday, May 13, 2011 at 1:57am.
first let's represent their weights using variables:
let C = weight of one piece of cake
let A = weight of one apple
let H = weight of one cherry
from the first statement,
(1) 2C = A + H
for the second statement,
(2) A = 5H + C
now we need to find how mach does cherries weigh as much as 1 apple. thus we need to manipulate these equations so that the weight of cake, C will not be involved in the final equation (in other words, we'll eliminate C)
first, from equation (2), we transpose C to the left side and A to the right side, and multiply both sides by 2, and it becomes:
-2C = -2A + 10H
then we add this to equation (1):
2C = A + H
-2C = -2A + 10H
---------------------
0 = -A + 11H
A = 11H
therefore, 1 apple weighs as much as 11 cherries.
hope this helps~ :)
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