Question

(a) An investor invested 20 cr in a company for the development of a mobile application. The company distributed this money among various departments to cover up the needs. One-fourth of invested money is allocated to advertisement team. Two third of the remaining money was given to development team. In development team, there are two sub-teams namely Graphics and content team. Among them, it is distributed in such a way that content team will get $\frac{3}{2}$ times more money than that of graphics team. Find the money allocated to each team separately.


(b) Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local hardware store sells tiles which are 2 by 2 feet and come in boxes of 6.
How many boxes of tiles do they need?
[4 MARKS]

Answer 1

Each part: 2 Marks


(a) Total money invested = 20 cr

Amount allocated to advertisement team = $20\times \frac{1}{4}$ = 5 cr.

Remaining amount: 20 - 5 = 15cr; Two third of 15 cr is allocated for development team $=15\times \frac{2}{3}=10cr$

Let graphics team got $x$ ,then content team got $\frac{3}{2}$$x$.

By solving, $x$ + $\frac{3}{2}$$x$ =10; $x$=4

Hence, amount allocated for graphics and content team were 4cr and 6cr respectively.


(b) Area of the walkway = (60 $\times$ 2)feet${}^2$ =120feet${}^2$

Area of 1 tile = (2 $\times$ 2)feet${}^2$ = 4feet${}^2$

Total tiles required = $\frac{120}{4}=30$

1 box contains 6 tiles.

$\therefore$ No. of boxes for 30 tiles

$=\frac{30}{6}=5$