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. 5 ties cost the same as 3 shirts, so 5T = 3S.
2. 5 ties and 3 shirts cost a total of $3150, so 5T + 3S = $3150.

We can solve these equations step by step:

Step 1: From equation 1, we can express T in terms of S: T = 3S/5.

Step 2: Substitute T in equation 2 with the expression we found in step 1: 5*(3S/5) + 3S = $3150, which simplifies to 3S + 3S = $3150, or 6S = $3150.

Step 3: Solve for S: S = $3150 / 6 = $525.

Step 4: Substitute S = $525 into the equation T = 3S/5 to find T: T = 3*$525/5 = $315.

Step 5: To find out how much more a shirt cost than a tie, subtract the cost of a tie from the cost of a shirt: $525 - $315 = $210.

So, a shirt cost $210 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. 5 ties cost the same as 3 shirts, so 5T = 3S. 
2. 5 ties and 3 shirts cost a total of $3150, so 5T + 3S = $3150.

We can solve these equations step by step:

Step 1: From equation 1, we can express T in terms of S: T = 3S/5.

Step 2: Substitute T in equation 2 with the expression we found in step 1: 5*(3S/5) + 3S = $3150, which simplifies to 3S + 3S = $3150, or 6S = $3150.

Step 3: Solve for S: S = $3150 / 6 = $525.

Step 4: Substitute S = $525 into the equation T = 3S/5 to find T: T = 3*$525/5 = $315.

Step 5: To find out how much more a shirt cost than a tie, subtract the cost of a tie from the cost of a shirt: $525 - $315 = $210.

So, a shirt cost $210 more than a tie.

Knowee AI · Accepted Answer