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) 8T = 3S (since 8 ties cost the same as 3 shirts)

2) 8T + 3S = $3312 (since 8 ties and 3 shirts cost a total of $3312)

We can solve these equations step by step:

Step 1: From equation 1), we can express T in terms of S: T = 3S/8

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

8*(3S/8) + 3S = $3312
3S + 3S = $3312
6S = $3312

Step 3: Solve for S:

S = $3312 / 6 = $552

Step 4: Substitute S = $552 in equation 1) to find T:

8T = 3*$552
T = 3*$552 / 8 = $207

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

$552 - $207 = $345

So, a shirt cost $345 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) 8T = 3S (since 8 ties cost the same as 3 shirts)

2) 8T + 3S = $3312 (since 8 ties and 3 shirts cost a total of $3312)

We can solve these equations step by step:

Step 1: From equation 1), we can express T in terms of S: T = 3S/8

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

8*(3S/8) + 3S = $3312
3S + 3S = $3312
6S = $3312

Step 3: Solve for S:

S = $3312 / 6 = $552

Step 4: Substitute S = $552 in equation 1) to find T:

8T = 3*$552
T = 3*$552 / 8 = $207

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

$552 - $207 = $345

So, a shirt cost $345 more than a tie.

Knowee AI · Accepted Answer