Question

A man paid $101 for 2 pairs of trousers and 3 shirts . He found that 7 pairs of trousers and 3 shirts would cost $331. Find the cost of a pair of trousers and a shirt

Answer 1

The cost of a pair of trousers and a shirt is $46 and $3 respectively.

Explanation:

Let us assume the pairs of trousers be X

And, the pairs of trousers be Y

So, the first equation is

2X + 3Y = $101

And, the second equation is

7X + 3Y = $331

Now substituting this two equations

2X + 3Y = $101

7X + 3Y = $331

-5X = -$230

X = $46

Now put the X values in one of the equation to find out the Y value

So,

2 × $46 + 3Y = $101

$92 + 3Y = $101

Y = $3