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laiz [17]
3 years ago
11

Bob earned $2100. He spent 1/5 of his money on rent and 1/3 of it on food. How much money did he have left?

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0
He should have $980 left
Mandarinka [93]3 years ago
3 0

Answer:

$980

Step-by-step explanation:

Step 1: Find \frac{1}{5} of 2100 = 420

  • \frac{1}{5}\times \:2100
  • Convert 2100 to a fraction: \:2100=\frac{2100}{1}
  • =\frac{1}{5}\times \frac{2100}{1}
  • Cross Divide
  • 2100 \div 5 = 420

Step 2: Find \frac{1}{3} of 2100 = 700

  • \frac{1}{3}\times \:2100
  • Convert 2100 to a fraction: \:2100=\frac{2100}{1}
  • =\frac{1}{3}\times \frac{2100}{1}
  • Cross Divide
  • 2100 \div 3 = 700

Step 3: Add both results together

420 + 700 = 1120

Step 4: Subtract the result from how much Bob earns ($2,100)

2100 - 1120 = 980

Bob has $960 left

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Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

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