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If seven cats and 3 dogs weigh as much as 4 monkeys and one monkey weighs as much as 1 cat and 1 dog how many cats weigh as much as 1 dog?
This can be simplified into the following equations:
7C + 3D = 4M
M = C + D
aC = D, where a is the variable you are solving for. The first part is to solve out the weight of a monkey by substituting the second equation for M in the first equation.
7C + 3 D = 4(C + D)
This can then be solved for C on the left and D on the right.
7C + 3D = 4C + 4D
3C = D.
Three cats weigh as much as one dog.
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