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Aleksandr [31]
3 years ago
12

Estimate the quotient using compatible numbers. 428 ÷ 6

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer: The quotient is 71.

Explanation:

We have to find the quotient when 428 is divided by 6.

We can write 428 as the sum of 420 and 8 because 420 is compatible number because 42 can easily divided by 6.

\frac{428}{6} =\frac{420+8}{6}

\frac{428}{6} =\frac{420}{6}+\frac{8}{6}

\frac{428}{6} =70+\frac{8}{6}

Now 8 can be written as the sum of 6 and 2.

\frac{428}{6} =70+\frac{6+2}{6}

\frac{428}{6} =70+\frac{6}{6}+\frac{2}{6}

\frac{428}{6} =70+1+\frac{1}{3}

\frac{428}{6} =71+\frac{1}{3}

Therefore, the quotient is 71 and the remainder is \frac{1}{3}.

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$1=105Nrp

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on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t
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389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

Total receipts worth = $1184.75

Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613    Eqn 1

1.75x+2.25y=1184.75    Eqn 2

Multiplying Eqn 1 by 1.75

1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224

Putting y=224 in Eqn 1

x+224=613\\x=613-224\\x=389\\

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/11236033
  • brainly.com/question/11306893

#LearnwithBrainly

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