A school library needs four computer for every 7 students. If the school has 280 students, how many computers does it need?

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A school library needs four computer for every 7 students. If the school has 280 students, how many computers does it need?

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Answer 1 · 2016-10-26T11:43:31

The school needs $160$ $160$ computers.

Explanation:

School needs $4$ $4$ computers for $7$ $7$ students.
$\Rightarrow 7$ $implies 7$ students need $4$ $4$ computers.

$\Rightarrow 1$ $implies 1$ student need $\frac{4}{7}$ $4/7$ computers.

$\Rightarrow 280$ $implies 280$ students need $\frac{280 \cdot 4}{7}$ $(280*4)/7$ computers.

$\Rightarrow 280$ $implies 280$ students need $(40 \cdot 4)$ $(40*4)$ computers.

$\Rightarrow 280$ $implies 280$ students need $160$ $160$ computers.

$\Rightarrow$ $implies$ The school needs $160$ $160$ computers.

Answer 2 · 2017-03-02T14:44:50

$160$ $160$ computers

Explanation:

We can read from this that for every group of $7$ $7$ students there should be 4 computer.

It will help to find out how many groups of $7$ $7$ students there are in the school.

$280 \div 7 = 40$ $280 div 7 = 40$ groups

Each group should have 4 computers:

$40 \times 4 = 160$ $40 xx 4 = 160$ computers

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We can also do this by direct proportion where we compare the number of students with the number of computers.

$\frac{students \to}{computers \to} \frac{7}{4} = \frac{280}{x}$ $("students"rarr)/("computers"rarr) " "7/4 = 280/x$

$7 x = 280 \times 4$ $7x = 280 xx 4$

$x = \frac{280 \times 4}{7}$ $x = (280 xx4)/7$

$x = 160$ $x = 160$

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A school library needs four computer for every 7 students. If the school has 280 students, how many computers does it need?

2 Answers

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