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On Father's Day, Mason wanted to buy a shirt and a tie for her father. 4 ties and 4 shirts cost $328. A shirt cost $30 more than a tie. What is the cost of a tie?

Question

On Father's Day, Mason wanted to buy a shirt and a tie for her father. 4 ties and 4 shirts cost 328.Ashirtcost328. A shirt cost 30 more than a tie. What is the cost of a tie?

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Solution

Let's solve this step by step:

Step 1: Let's denote the cost of a tie as 'T' and the cost of a shirt as 'S'.

Step 2: According to the problem, we know that a shirt costs 30morethanatie.Sowecanwritethisas:S=T+30 more than a tie. So we can write this as: S = T + 30.

Step 3: We also know that 4 ties and 4 shirts cost 328.Sowecanwritethisas:4T+4S=328. So we can write this as: 4T + 4S = 328.

Step 4: Now we can substitute the value of S from step 2 into the equation from step 3. This gives us: 4T + 4(T + 30)=30) = 328.

Step 5: Simplify the equation: 4T + 4T + 120=120 = 328.

Step 6: Combine like terms: 8T + 120=120 = 328.

Step 7: Subtract 120frombothsidesoftheequation:8T=120 from both sides of the equation: 8T = 208.

Step 8: Finally, divide both sides of the equation by 8 to solve for T: T = $26.

So, the cost of a tie is $26.

This problem has been solved

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