Question

The cost of$7$ the shirts and$5$ a pair of trousers is$₹11,900$. Find the cost of$3$ shirts and$3$ pair of trousers, if the cost of a pair of trousers exceeds the cost of a shirt by$₹100$

Answer 1

Find the cost of$3$ shirts and$3$ pair of trousers.

Step1:Form the equation.

Let the cost of the shirt be$x$ and the pair of trousers be$x+100$.

$7x+5\left(x+100\right)=11900$

Step2:Find the value of$x$

$$\begin{gathered} 7x+5\left(x+100\right)=11900 \\ 7x+5x+500=11900 \\ 12x+500=11900 \\ 12x=11900-500 \\ 12x=11400 \\ x=\frac{11400}{12} \\ \therefore x=950 \end{gathered}$$

$\therefore$The cost of the shirt is $x=₹950$

and the pair of trousers is $x+100=950+100=₹1050$

$\therefore$The cost of$3$ shirts and$3$ pair of trousers$=3\times x+3\times \left(x+100\right)$

$$\begin{gathered} =3\times 950+3\times 950+300 \\ =2850+2850+300 \\ =₹6000 \end{gathered}$$

$\therefore$The cost of$3$ the shirts and$3$ a pair of trousers is$₹6000$