Let's denote the cost of a tie as T and the cost of a shirt as S.

From the problem, we know that:

1) 7T = 3S (since 7 ties cost the same as 3 shirts)

2) 7T + 3S = $3360 (since 7 ties and 3 shirts cost a total of $3360)

We can solve these equations step by step:

Step 1: From equation 1), we can express T in terms of S: T = 3S/7

Step 2: Substitute T in equation 2) with the expression we found in step 1:

7*(3S/7) + 3S = $3360
3S + 3S = $3360
6S = $3360

Step 3: Solve for S:

S = $3360 / 6 = $560

Step 4: Substitute S = $560 in equation 1) to find T:

7T = 3*$560
T = 3*$560 / 7 = $240

Step 5: Find the difference between the cost of a shirt and a tie:

$560 - $240 = $320

So, a shirt cost $320 more than a tie.

Question

Let's denote the cost of a tie as T and the cost of a shirt as S.

From the problem, we know that:

1) 7T = 3S (since 7 ties cost the same as 3 shirts)

2) 7T + 3S = $3360 (since 7 ties and 3 shirts cost a total of $3360)

We can solve these equations step by step:

Step 1: From equation 1), we can express T in terms of S: T = 3S/7

Step 2: Substitute T in equation 2) with the expression we found in step 1:

7*(3S/7) + 3S = $3360
3S + 3S = $3360
6S = $3360

Step 3: Solve for S:

S = $3360 / 6 = $560

Step 4: Substitute S = $560 in equation 1) to find T:

7T = 3*$560
T = 3*$560 / 7 = $240

Step 5: Find the difference between the cost of a shirt and a tie:

$560 - $240 = $320

So, a shirt cost $320 more than a tie.

Knowee AI · Accepted Answer