ADDITION
&
SUBTRACTION |
Azmi has \(18\,\ell\,50\,\text{m}\ell\) of soy drinks. He gives \(16\,\ell\,180\,\text{m}\ell\) to his neighbours. Then, he restocks his soy drinks with \(12\,\ell\) of soy drinks. What is the final volume of soy drinks, in \(\ell\) and \(\text{m}\ell\), that Azmi has?
SOLUTION:
Initial soy drinks volume: \(18\,\ell\,50\,\text{m}\ell\)
Volume of soy drinks given to neighbours: \(16\,\ell\,180\,\text{m}\ell\)
Volume of soy drinks added: \(12\,\ell\)
\(18\,\ell\,50\,\text{m}\ell-16\,\ell\,180\,\text{m}\ell+12\,\ell=\fbox{\color{white}1}\,\ell\,\fbox{\color{white}1}\,\text{m}\ell\)
\(18\,\ell\,50\,\text{m}\ell-16\,\ell\,180\,\text{m}\ell+12\,\ell\)
\(=17\,\ell\,1050\,\text{m}\ell-16\,\ell\,180\,\text{m}\ell+12\,\ell\)
\(=1\,\ell\,870\,\text{m}\ell+12\,\ell\)
\(=13\,\ell\,870\,\text{m}\ell\)
In conclusion, the final volume of doy drinks that Azmi has is \(13\,\ell\,870\,\text{m}\ell\).
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MULTIPLICATION
&
DIVISION |
A bucket of paint was poured into \(9\) small cans. The volume of paint in \(2\) small cans is \(2\,\ell\,700\,\text{m}\ell\). Find the volume of paint that the bucket initially holds.
SOLUTION:
Volume of paInt in \(2\) small cans: \(2\,\ell\,700\,\text{m}\ell\)
Original volume of paint: \(9\times\text{Volume of 1 small can}\)
Volume of \(1\) small can: \(2\,\ell\,700\,\text{m}\ell\div2=1\,\ell\,350\,\text{m}\ell\)
Original volume of paint: \(9\times1\,\ell\,350\,\text{m}\ell=9\,\ell\,3150\,\text{m}\ell\rightarrow\color{blue}12\,\ell\,\color{red}150\,\text{m}\ell\)
In conclusion, the initial volume of the paint is \(12\,\ell\,150\,\text{m}\ell\).
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