A farmer owns a total of 26 chickens and donkeys.The chickens and donkeys have 88 legs altogether.How many donkeys are there?
Question
A farmer owns a total of 26 chickens and donkeys.The chickens and donkeys have 88 legs altogether.How many donkeys are there?
Solution
Sure, let's solve this problem step by step.
Step 1: Let's denote the number of chickens as C and the number of donkeys as D. We know from the problem that C + D = 26 (because the total number of animals is 26).
Step 2: We also know that each chicken has 2 legs and each donkey has 4 legs. So, the total number of legs is 2C + 4D = 88 (because the total number of legs is 88).
Step 3: We can simplify the second equation to C + 2D = 44 (by dividing the entire equation by 2).
Step 4: Now we have a system of two equations: C + D = 26 and C + 2D = 44. We can subtract the first equation from the second to find D. This gives us D = 44 - 26 = 18.
So, the farmer has 18 donkeys.
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