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sergejj [24]
3 years ago
9

in mathematics competition,the winner won $100 more than twice the amount won by the runner-up. how much money did the runner-up

win if both of them won $2,350 altogether​
Mathematics
2 answers:
11111nata11111 [884]3 years ago
3 0

Answer:

1,175

I only halfed it.

Hope it's right.

laiz [17]3 years ago
3 0

Answer:

$750

Step-by-step explanation:

Since there are two people who won prize money and the total amount won is $2,350, we can set up an equation based on the verbal descriptions to assign a variable and solve.

Let 'x' = the amount won by the runner-up

Since the winner won '$100 more than twice the amount won by the runner-up':  winner = 2x + 100

The sum of the amount is $2,350, so:

x + (2x + 100) = 2350 or 3x + 100 = 2350

Subtract 100 from both sides:  3x + 100 - 100 = 2350 - 100 or 3x = 2250

Divide by 3 on both sides: 3x/3 = 2250/3

Solve for x:  x = $750

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3 years ago
1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
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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.

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If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

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As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

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