Courses
Courses for Kids
Free study material
Offline Centres
More
Store

Find the weight of 28 bricks if 17 bricks weigh 102 Kg.

Last updated date: 14th Jul 2024
Total views: 346.5k
Views today: 7.46k
Verified
346.5k+ views
Hint: We use the unitary system to find the weight of 1 brick from the weight of 17 bricks being 102. Then we multiply with 28 to find the weight of those bricks.

So, the weight will be $\dfrac{102}{17}$ Kg.
The weight will be $\dfrac{102}{17}\times 28=\dfrac{2856}{17}$ Kg.
For any fraction $\dfrac{p}{q}$ , we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{p}/{}_{d}}{{}^{q}/{}_{d}}$ .
For our given fraction $\dfrac{2856}{17}$ , the G.C.D of the denominator and the numerator is 17.
\begin{align} & 17\left| \!{\underline {\, 17,2856 \,}} \right. \\ & 1\left| \!{\underline {\, 1,168 \,}} \right. \\ \end{align}
Now we divide both the denominator and the numerator with 17 and get $\dfrac{{}^{2856}/{}_{17}}{{}^{17}/{}_{17}}=168$ .
Note: We can also convert it in the form of multiplication where we get the weight of 1 brick as $\dfrac{102}{17}=6$ Kg. Then we multiply with 28 to get $28\times 6=168$ Kg as the solution.