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 (7 ties cost the same as 3 shirts)
2. 7T + 3S = $3738 (7 ties and 3 shirts cost a total of $3738)

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 = $3738, which simplifies to 3S + 3S = $3738, or 6S = $3738

Step 3: Solve for S: S = $3738 / 6 = $623

Step 4: Substitute S = $623 into equation 1 to find T: 7T = 3*$623, or T = 3*$623 / 7 = $267

Step 5: Find the difference between the cost of a shirt and a tie: $623 - $267 = $356

So, a shirt costs $356 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 (7 ties cost the same as 3 shirts)
2. 7T + 3S = $3738 (7 ties and 3 shirts cost a total of $3738)

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 = $3738, which simplifies to 3S + 3S = $3738, or 6S = $3738

Step 3: Solve for S: S = $3738 / 6 = $623

Step 4: Substitute S = $623 into equation 1 to find T: 7T = 3*$623, or T = 3*$623 / 7 = $267

Step 5: Find the difference between the cost of a shirt and a tie: $623 - $267 = $356

So, a shirt costs $356 more than a tie.

Knowee AI · Accepted Answer