Question

The cost of 2 jackets and 3 dresses is £46. The cost of 2 jackets and 4 dresses is £54. How much does 1 dress cost?​

Answer 1

£11

Explanation:

Let cost of jackets : x, DRESSES: y.

ATP,

2x+3y = 46 ...(1)

2x + 4y = 54 ...(2)

From 1, we get x = (46-3y)/2

By Substitution in (2), we get:

2(46-3y)/2 +4y = 54

=> 46-3y+4y= 54

=> x = 8

Thus, 1 dress cost: 46-3*8/2 = 46-24/2 =22/2 = £11