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Add the numbers in base 5.
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b) Add:
Add the numbers in base 5.
When adding in base 5, if the sum of digits is 5 or more, we carry over groups of 5.
- Rightmost column: . In base 5, . Write down 1, carry over 1.
- Middle column: . In base 5, . Write down 2, carry over 1.
- Leftmost column: . Write down 2.
The sum is .
- The final answer is .
c) Given that . Find the value of base .
Convert the number from base to base 10.
Set up the equation using the given information.
Solve for .
- The final answer is .
24. The sum of 3 consecutive counting numbers is 63. Find the numbers.
Let the first counting number be .
The three consecutive counting numbers are , , and .
Write the equation for their sum.
Solve for .
Find the three consecutive numbers.
The numbers are , , .
20, , .
20, 21, 22.- The final answer is .
25. In a group of 50 farmers, grow crops and the rest rear animals.
a) Find the fraction of the farmers that rear animals.
The total fraction of farmers is 1.
Subtract the fraction that grow crops from 1 to find the fraction that rear animals.
- The final answer is .
b) How many farmers grow crops?
Multiply the total number of farmers by the fraction that grow crops.
- The final answer is .
c) How many more farmers rear animals than grow crops?
Calculate the number of farmers that rear animals.
From part a), the fraction rearing animals is .
Find the difference between the number of farmers rearing animals and the number of farmers growing crops.
- The final answer is .
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