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Solve for the weight of a lion given the weights of three different scales with tigers, deer, and lions.
Mathematics
ScanSolve AI Answer
Step-by-step solution
3 stepsLet's represent the weight of each animal:
- T = weight of one tiger
- D = weight of one deer
- L = weight of one lion
From the images, we can set up the following equations:
Determine the weight of one tiger.
The first scale shows 3 tigers weighing 36 kg.
3T = 36 kg
T = 36 kg / 3
T = 12 kgDetermine the weight of one deer.
The second scale shows 1 tiger and 1 deer weighing 22 kg.
T + D = 22 kg
Substitute the value of T from Step 1:
12 kg + D = 22 kg
D = 22 kg - 12 kg
D = 10 kgDetermine the weight of one lion.
The third scale shows 1 deer and 2 lions weighing 46 kg.
D + 2L = 46 kg
Substitute the value of D from Step 2:
10 kg + 2L = 46 kg
2L = 46 kg - 10 kg
2L = 36 kg
L = 36 kg / 2
L = 18 kgThe weight of the lion is 18 kg.
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