Question

A Machine in a soft drink factory fills 840 bottles in 6 hours. How many bottles will it fill in 5 hours

Answer 1

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The machine can fill 700 bottles in 5 hours

Step-by-step explanation:

$\bf\huge{\pink{\underline{Given}}}$

• A machine fills 840 bottles in 6 hours

${\huge {\bf{\pink{\underline{To\: Find }}}}}$

• The number of bottles filled in 5 hours .

$\huge{ \bf{\pink{\underline{Solution}}}}$

Number of bottles filled :- 840

Time Taken to fill the bottles :- 6 hours

_______________________________

Number of bottles filled :- x

Time Taken to fill the bottles :- 5 hours

Since, when the time decreases the number of bottles produced should decrease. $\therefore$ Direct Proportion.

$\bf \frac{x}{y} = k$

$\frac{840}{6} = \frac{x}{5}$

$\bf Do \: Cross\:multiplication$

$\bf 840 \times 5 = 6 \times x$

$\large \bf \: x = \frac{840 \times 5}{6}$

$\bf \: x = 140 \times 5$

${ \boxed {\boxed{\huge \: \bf \: x = 700}}}$

So, The machine can fill 700 bottles in 5 hours