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2 years ago

The sum of two consecutive integers is −51. Find the integers.

Mathematics

1 answer:

yawa3891 [41]2 years ago

6 0

9514 1404 393

Answer:

-26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

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A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea

Whitepunk [10]

Answer:

The number of dimes are 100 and number of quarters are 140.

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = $\$0.10d$

1 quarter = $0.25

∴ 'q' quarters = $\$0.25q$

Now, as per question:

$d+m=240-----1\\0.1d+0.25q=45---2$

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

$-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100$

Therefore, the number of dimes are 100 and number of quarters are 140.

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