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 = $3402 (since 7 ties and 3 shirts cost a total of $3402)

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 = $3402
3S + 3S = $3402
6S = $3402
S = $3402 / 6
S = $567

Step 3: Substitute S = $567 in equation 1) to find T:

7T = 3*$567
7T = $1701
T = $1701 / 7
T = $243

Step 4: To find out how much more a shirt cost than a tie, subtract the cost of a tie from the cost of a shirt:

$567 - $243 = $324

So, a shirt cost $324 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 = $3402 (since 7 ties and 3 shirts cost a total of $3402)

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 = $3402
3S + 3S = $3402
6S = $3402
S = $3402 / 6
S = $567

Step 3: Substitute S = $567 in equation 1) to find T:

7T = 3*$567
7T = $1701
T = $1701 / 7
T = $243

Step 4: To find out how much more a shirt cost than a tie, subtract the cost of a tie from the cost of a shirt:

$567 - $243 = $324

So, a shirt cost $324 more than a tie.

Knowee AI · Accepted Answer