Price of a single item

Question

I have this mathematical problem, and I don't know how to tackle it.

Total price of a jacket and shoes is $106$ euros.

The shoes cost $13$ more euros than the jacket.

How much does the jacket cost?

$S+J=106$

$S=J+13$

$J=?$

Is the question missing something?

With this question, can't the price of the jacket can be anything, or am I mistaken?

Welcome to Mathematics Stack Exchange. Perhaps if you write equations relating $J=$cost of jacket and $S=$cost of shoes you can solve them and get the answer — J. W. Tanner, Sep 12 '19 at 20:10

score 1 · Answer 1 · answered Sep 12 '19 at 20:16

1

$$S+J=106\tag1$$

$$S-J=13\tag2$$

subtract $(2)$ from $(1)$:

$$2J=106-13$$

Now can you determine the price of the jacket?

answered Sep 12 '19 at 20:16

J. W. Tanner

60,406

Ye that should do the trick, I understand it from here. I'm sorry Im not the very brightest at Maths. Thanks! – BitByte Sep 12 '19 at 20:19

score 0 · Answer 2 · answered Sep 12 '19 at 20:13

0

You want to solve the system $$j+s=106,\,s=j+13$$ for $j,$ with the variables standing for the obvious quantities.

This is a linear system of the form $x+y=a,\,x-y=b.$ This always has a unique solution.

answered Sep 12 '19 at 20:13

Allawonder

13,327

score 0 · Answer 3 · answered Sep 12 '19 at 20:36

0

No, the question isn't missing anything. You can set it up as the equation 106 = (13 + x) + x, where x is the price of the jacket and (13 + x) is the price of the shoe.

answered Sep 12 '19 at 20:36

DeapSoup

98
6

Oh, I posted my answer only after keeping the question opened in a tab for a while, during which others have already answered the question – DeapSoup Sep 12 '19 at 20:38

Price of a single item

3 Answers3